Question

2. The sum of the digits of a two digit number is 12. If the new number formed by reversing the
digits is greater than the original number by 54, find the original number.​

Answer 1

LET THE ONE'S DIGIT BE X

TENS DIGIT BE Y

ORIGINAL NO.->. 10Y+X

REVERSING NUMBER. -> 10X+Y

A.T.Q

X+Y=12. 1 equation

10X+Y=10Y+X+54

10X+Y-10Y-X=54

9X-9Y=54. (DIVIDING BY 9)

X-Y=6. 2 equation

from 1 and 2 equation

X+Y=12

X-Y=6

________

2X. =18

X=18/2

X=9

PUTTING X=9 IN 1 EQUATION

X+Y=12

9+Y=12

Y=12-9

Y=3

THEREFORE X=9 ,Y=3

THANK YOU