Question

5. Sum of the digits of a 2-digit number is 13. If 27 is subtracted from it, the digits are interchanged.
the original number.

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Answer 1

Answer:

Let the digits be x and y and the number be

10x+y

It is given x+y=13

10x+y -27=10y+x

9x-9y=27

x-y=3

(x-y)+(x+y)=3+13=16

2x=16

x=8

y=5

The original Number=10×8+5=85

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