Question

The sum of digits of a two digits numberis 8and the difference between the numbers that formed by reversed the digit is 18 find the number

Answer 1

Let the number be 10x + y.

→ x + y = 8

Reversed numbers is 10y + x.

→ 10x + y - (10y - x) = 18

→ 9x - 9y = 18

→ x - y = 2

Now two equations we have,

→ x + y = 8

→ x - y = 2

On adding both we get,

→ 2x = 10

→ x = 5

By substituting value of x,

→ 5 + y = 8

→ y = 3

Number : 10x + y

→ 10(5) + 3

→ 50 + 3

→ 53