Question

(a)
2.
The difference between a 2-digit number and the number obtained by interchanging the positions of its
digits is 72. Find the difference between the two digits of that number.
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Answer 1

Let the digits be x and y.

Thus original number is = 10x + y

Now interchange the digits and we get

New number = 10y + x

According to question

10x + y - ( 10y + x ) = 72

10x + y - 10y - x = 72

9x - 9y = 72

9 ( x - y ) = 72

x - y = 8

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