Question

the sum of the digits of a two digit number is 13 the number obtained by interchanging the digits of the given number

Answer 1

Sum of digits 13

Let tens is X then ones will be 13-X

and the number = 10X+(13-X) = 9X+13

If digit are interchanged the ones will be 13-X and tens will be X, then resulting number will be 10(13-X) +X= 13-9X.

It is added to original number we get 143

So, (9X+13)+(13-9X) = 143

143=143

This true for all X making sum of digit 13

If ones and tens are 4, 9 number is 49

If ones and tens are 5, 8 number is 58

Similarly numbers will be 67, 76, 85 and 94.

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