Question

The two digits of a two digit number differ by 5. if the digits are reversed the sum of thetwo no is 99. find the numbers.

Answer 1

Let us assume, the x and y are the two digits of a two-digit number.

Therefore, the two-digit number = 10x + y and reversed number = 10y + x

Given:

x - y = 5 -------------1

Also given:

10x + y + 10y + x = 99

11x + 11y = 99

x + y = 9 --------------2

Adding equation 1 and equation 2

2x = 14

x = 7

Therefore, y = x - 5 = 7 - 5  = 2

Therefore, the two-digit number = 10x + y = 10*7 + 2 = 72

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