What Number Am I?
Three is the number of digits you must guess; I'm sure you will, in a minute
less.
The number is a multiple of four, and if you listen, I'll tell you more.
The first digit's more than five, and prime. So pay attention now, just one
more time.
The last two digits' sum is greater than ten; the ones (place value) is greatest
though, and that's the end.
er is:

Answer:

The number is 768

Explanation:

The given parameters of the three digits number are;

The number is a multiple of four, therefore, a factor of the number = 4

The value of the first digit = A prime number larger than 5

The sum of the last two digits > 10

The value of the ones (place value) digit > The tens (place value) digit

Let 'xyz' represent the digits of the three digits number, we have;

x = A prime number digit larger than 5

∴ x = 7

y + z > 10

z > y and z > x

Given that 4 is a factor of the number, we have;

4 is a factor of 'z'

4 is also a factor of yz

Therefore, the digit, z > 7 and z is divisible by 4, therefore, z = 8

y + z = y + 8 > 10

∴ y > 10 - 8

y > 2

The multiples of 4 larger than 728 with the last digit equal to 8 are found using Microsoft Excel and presented as follows;

748, 768, 788

The numbers that have a larger ones place value are; 748 and 768

The sum of the las two digits are therefore, 4 + 8 = 12 and 6 + 8 = 14

The number that has the largest ones place value for the sum of the last two digits is 768

The number is 768

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