Question

The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is triple the hundreds digit .what is the number?

Answer 1

286

Explanation:

If the three-digit number is xyz, then:

x + y + z = 16

y = z + 2

z = 3x

Substitute the third equation into the second:

y = 3x + 2

Substitute this and the third equation into the first:

x + (3x + 2) + (3x) = 16

7x + 2 = 16

7x = 14

x = 2

y = 3x + 2 = 8

z = 3x = 6

The number is 286.