Question

Determine the digits of Y from these clues. The digits of Y add to 16. The first digit is 4 times the third digit. The second digit is 3 times the third digit. Y is a three digit number.

Answer 1

The number is 862. (:

Answer 2

The number Y is 862.

Explanation:

Given : Y is a three digit number and the digits of Y add to 16 and The first digit is 4 times the third digit. The second digit is 3 times the third digit.

We have to find the number Y.

Since, Y is a three digit number

Let Y = abc , where a, b, c are the digits of Y.

According to given question ,

a + b + c = 16 ........(1)

also, The first digit is 4 times the third digit that is a = 4c ....(2)

and, The second digit is 3 times the third digit that is b= 3c ....(3)

Substitute (2) and (3) in (1) , we get,

⇒ 4c + 3c + c = 16

⇒ 8c = 16

⇒ c = 2

Thus, c = 2

Put c = 2 in (2) and (3) to find a and b ,

thus, a = 4c = 4(2) = 8

b = 3c = 3(2)= 6

Thus, number Y = abc = 862.