Question

The sum of the digits of two digit number is 9. When the digits are interchanged
the resulting number exceeds the original number by 27.Find the two digit
number. 8th class​

Answer 1

Let the tens digit be ‘x’, units digit be ‘u’

Hence, x + y = 9
Therefore, x = 9-y.

Also, 10y + x = 10x + y + 27

10y + 9 - y = 10(9 -y) + y + 27

9y + 9 = 117 - 9y

18y = 108

Hence, y = 6
And, x = 3

The number is 36.