Question

Determine the digits of Y from these clues.

The digits of Y add to 18.
The first digit is 3 times the third digit.
The second digit is 2 times the third digit.
Y is a three digit number.​

Answer 1

Y = 963

Explanation:

The digits of Y add to 18. The first digit is 3 times the third digit. The second digit is 2 times the third digit. Y is a three digit number.​

Let Y a three digit number be: abc

First digit = a , Second digit = b, Third digit = c

Also given,

The digits of Y add to 18. => a+b+c = 18 eq(i)

The first digit is 3 times the third digit. => a = 3c eq(ii)

The second digit is 2 times the third digit. => b = 2c eq(iii)

Putting value of a and b in eq(i)

3c + 2c + c = 18

6c = 18

c= 18/6

c = 3

Putting value of c in eq(ii) and eq(iii)

a= 3c => a=3(3) => a= 9

b= 2c => b=2(3) => b = 6

Thus, Y = abc

Y = 963