Question

On reversing the digits of a two digit number, number obtained is 9 less than three
times the original number. If difference of these two numbers is 45, find the ongina
number
(2015)​

Answer 1

Step-by-step explanation:

The number is 27.

a+b=9⟹a=9−b

10a+b+45=10b+a

⟹10(9−b)+b+45=10b+9−b

⟹90−10b+b+45=9b+9

⟹(135−9b)+9b=(9b+9)+9b

⟹(18b+9)−9=135−9

⟹18b18=12618

→b=7 and a=2

answer:27

Proof:

2+7=9