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Question

The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?


Solution

Let units place digit = x

and tens place digit = y

Then number = x + 10y.

By interchanging the positions of the digits then

units digit = y

and tens digit = x

Number = y + 10x.

(x + 10y) – (y + 10x) = 63

x + l0y – y – 10x = 63

9y – 9x = 63 9(y – x) = 63

   yx=639=7

Hence, difference of its digits = 7 Ans.

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