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.
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Answer 1

Explanation:

Let the original number be 80-9x.

After reversing the digits the new number is 9x+8.

ATQ,

80-9x+18=9x+8

=>-9x-9x=8-80-18

=>-18x=8-98

=>-18x=-90

=>x=5

The number is 80-(9×5)

=80-45

=35