Mathematics College


The age of a man is twice the sum of the ages of his two sons. Ten years ago, his age was five times
the sum of their ages. Find his present age.
a) 40 years
b) 50 years
c) 60 years
d) 70 years​

Answers

Answer 1

Answer:

suppose: the age of the man now is x

the sum of the ages of his two sons now is y

(x, y > 0, x, y € N)

so the age of the man 10 years ago is x - 10

the sum of the ages of his 2 sons ten years ago is

y - 20

because now, The age of a man is twice the sum of the ages of his two sons => x = 2y

because Ten years ago, his age was five times

the sum of their ages

=> x - 10 = 5( y - 20)

<=> x - 10 = 5y - 100

<=> 2x - 20 = 10y - 200

<=> 2x = 2y.5 - 180

but x = 2y => 2x = 5x - 180

<=> 3x = 180

<=> x = 60

=> his present age is 60

Related Questions

If you make a batch of cookies and your sister eats 10% of them, what percent remains?

Answers

Answer:

I love cookies

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

1 batch would be the same as 100%

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Answer:

20 cubic feet.

From feet: length (ft) × width (ft) × height (ft) = cubic feet.

From inches: length (in) × width (in) × height (in) ÷ 1728 = cubic feet.

From yards: length (yd) × width (yd) × height (yd) × 27 = cubic feet.

If you need to convert to cubic feet from inches: divide the final number (i.e. the total you get after multiplying the three dimensions together

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=52°, and UV = 7 feet. Find the length of VT to the nearest tenth of a foot.

Answers

Answer:

5.5 feet

Step-by-step explanation:

Answer:

5.5 feet

Step-by-step explanation:

We have VT adjacent to angle T.

We know that VU, side length that is opposite to T, is 7.

We use the TAN function, which is opposite/adjacent, on T :)

tan(52) = 7/x

x tan(52) = 7

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YAS

Kali runs 20 laps around the track each day.Each lap around the track is 400 meters. How many days will it take kali to run a total or 12 kilometers?

Answers

Answer:

Step-by-step Explanation:

Answer:

1 and a half days

Step-by-step explanation:

400 meters x 20 laps = 8000 meters

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Answers

Answer:

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A pool can be filled by one pipe in 8 hours and by a second pipe in 9 hours. How long will it take using both pipes to fill the​ pool?

Answers

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Which of the following are dependent events? Select all that apply.

You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.

Answers

Answer: all

Step-by-step explanation:

Answer: You randomly choose two socks from a drawer, hoping they will match.

You draw two numbers from 1 to 10 from a hat without replacing them first.

Step-by-step explanation:

dependent events: compound events in which one event affects the likelihood of the other event

independent events:compound events in which one event does not affect the likelihood of the other event

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

answer is A

Step-by-step explanation:

took the test :)

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What is an expression?

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After taking LCM

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or

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Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

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Answers

Answer:

y = -6

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Step-by-step explanation:

I hope you can read my handwriting.

Have a wonderful day!

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3ab + 3a + 2b + 2​

Answers

Answer:

3ab + 3a + 2b + 2

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Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?

Answers

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Answers

Answer:

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Step-by-step explanation:

hope it helps :) have a nice day!

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Answers

Answer:

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Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

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Answers

it is oxygen no doubt about it

Siobhan makes jewelry to sell online and wants to
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Find the square root of 14+6√5​

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1️⃣ Square.

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PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

You did do it correct!

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

The length of ZX is 2 units.


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Answers

Answer:

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Answer:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

24

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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1. Exercise 18, section 3.1. Let D be the set of all students at your school and let M(s) be "s is a math major", let C(s) be "s is a computer science major" and let E(s) be "s is an engineering major". Express each of the following statements using quantifiers, variables and the predicates M(s), C(s), E(s). a. Every computer science student is an engineering student b. No computer science students are engineering students c. Some computer science students are also math majors.

Answers

Answer:

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Step-by-step explanation:

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E(s) = s Engineering major

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∀s ∈ D, C(s) - - - > ~ E(s)

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~ = not

∈ = belongs to

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Answers

Answer:

The second one

Step-by-step explanation:

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