Question

The sum of the digits of a two digit number is eight if eighteen is added to the number the digits of the number get interchange find the number

Answer 1

Number is 35.
i hope this will help you.

Answer 2

Let x be the 10 digit number and y be the units digit.

Given, the sum of digits is 8. i.e x + y = 8 can be written as y = 8 - x ---- (1)

The new equation will be 10x + y and reversed number will be 10y + x.

Given, 18 is added to the number.

10x+y+18 = 10y+x

9x + 18 = 9y

x + 2 = y(from (1))

x + 2 = 8 - x

2x = 6

x = 3

Substitute x = 3 in (1), we get

y = 5.

The original number is 35 and the reversed number is 53.

Hope this helps!