Question

A number consists of two digits whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.

Answer 1

Hi Friend !!

Here is ur answer ,,,

Let the numbers be x and y

then the number be 10x+y

Sum of digits = 8

x+y = 8 _______(1)

Its reversed number = 10y + x

when 18 added to the number its digits are reversed .

10x+y+18 = 10y+x

10x - x + 18 = 10y - y

9x + 18 = 9y

9y - 9x = 18

y-x = 18/9

y-x = 2 ________(2)

From (1) and (2)

2y = 8+2

y = 10/2

y = 5

x+y = 8

x+5 = 8

x = 8-5

x = 3

So, the number ,,

= 10x+ y

= 10(3)+5

= 30+5

= 35

Hope it helps u : )