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Question

A number consists of two digits whose sum is 13. If 27 is subtracted from the number , the digits are reversed. Find the number.

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Solution

Let that no. be 10x+y
Given, x+y=13..........1
According to question,10x+y27=10y+x
9x9y=27
xy=3 .........2
Now substitute the value of x from 2 to 1
y+3+y=13
2y=10
y=5
Now put the value of y in 2
x5=3
x=8
so, that no. is 10(8)+5 = 85

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