Question

A no. consists of 2 digits whose sum is 8 . if 18 added to the number, the digits interchange their places . find the number.

Answer 1

let the no. be 10x +y
x+y=8
10x+y+18=10y+x
9x-9y=-18
x-y=-2
x+y=8
2x=6
x=3
y=8-x=8-3=5

the number =35

Answer 2

So, original number = 80 - 9x
= 80 - 9 x 5
= 80 - 45 = 35
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