Question

The sum of two digits of a two digit number is 15. If the number formed by reversing the digits is less than the original number by 27, find the original number.

Answer 1

let digit at ones place be x

so digit at tens place 15-x

so the original no. will be

150-10x+x=150-9x

if digits are reversed

digit at ones place will be 15-x

digit at tens place will be x

no. will become 10x+15-x=9x+15

150-9x-9x-15=27

18x=108

x=6

so the no is 96

Answer 2

Answer:

96

Step-by-step explanation:

a+b=15  

10a+b=10b+a-27

9a-9b=-27

9a+9b=135

therefore

a=6 b=9

number=69

after reversing=96