Question

The digits od a two-digit number differ by 3. if digits are interchanged and the resulting number is added to the original number, we get 121. find the original number.​

Answer 1

Let the original number be 10x + y, then x-y = 3

=> x= 3+y

A.T.P.

(10x+y)+(10y+x)=121

=>10(3+y)+y+10y+(3+y)=121

=>30+10y+11y+3+y=121

=>22y+33=121

=>22y=88

=>y=4

x=3+4=7

The original number=74