Question

sum of the digits of two digit is 18. If the digits are reversed the number is 126 more than the original. Find the number ​

Answer 1

Let unit place is x and tenth place is y so

Condition 1

x +y = 12

Condition 2 if digit reversed

y +10x = x + 10y -18

y + 10x -x - 10y= -18

9x -9y = -18

9y -9x =18

9y- 9(12–y)= 18

9y-108+9y=18

18y= 18+108

y = 126/18

y= 7

So x = 12–7 =5

Original number = 10x +y = 10x5+7= 57

4.7k views · View Upvoters · Answer requested by Avinash Mishra

Upvote

·

4

5

Share