Question

The sum of the digits of a two-digit number is 12. The number obtained by interchanging the two 3 digits exceeds the given number by 18. Find the numbe

Answer 1

Let digits in no.be x and y

So the no. Is 10x+y

Given: Sum of two digits no. is 12.

=> x+y = 12 -------(1)

ATQ

10y+ x = 10x + y +18

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

=>9y - 9x =18

=>y - x =2 -------(2)

Solving equation (1) and (2),we get

X=5,Y=7

So,the no. Is 57.