Question

The sum of the digits of a two digit number is 7. If the number formed by reversing the digits is

less than the original number by 27, find the original number.

Answer 1

Answer:

52

Step-by-step explanation:

Let the tens digit be y and units digit be x, so the number is 10y+x

Given sum of digit is 7 implies

Y+x=7.....(1)

If the number is reversed then it will be 10x+y

Original number - 27= newnumber

10y+x-27=10x+y

9y-9x=27

Y-x=3.....(2)

Solve eq 1 and 2 and you will get

X=2

Y=5

So the number is 52

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