Question

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the sun the digits of a two digit number is 10 if 36 is subtracted from the number the digit in the change their places find the number
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Answer 1

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the number be xy = 10*x + y

Given x + y = 10 (i)

and

10*x + y + 36 = 10*y + x (digits of original number reversed by adding 36)

9*x - 9*y = -36

x - y = -4 (ii) dividing throughout by 9.

Adding (i) and (ii):

x + y = 10

+(x - y = -4)

We get:

2*x = 6

or x= 3

Substituting for x in (i),

3 + y = 10

or y = 10 - 3 = 7

Therefore, the original number, xy (=10*x + y) = 30 + 7 = 37.

Check: 37 + 36 = 73.

Good luck!

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