Question

give than that 45is the difference between a number and that formed by reverseing its digits.if the sum of the digit of the number is 13.then find the number
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Answer 1

Let the number have x at tens place and y at units place.

So the number is = 10x + y

Reversed number = 10y + x

Difference of both = 9x- 9y = 45

So x - y = 5 - (eqn 1)

Also given x + y = 13 - (eqn 2)

So adding eqn 1 and eqn 2:

2x = 18

x=9

and y=4

So the number is 94.

But the number could also be 49 since it is not mentioned which one is greater : the number or its reverse.

So the answer is 94 or 49.

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