Question

The sum of the digits of a two- digit number is 6. When we interchange the digits, the new number is 18 less than the original number. Find the original number.pls explain step by step​

Answer 1

42

Explanation:

S1 let a and b be the digits of the number

so a 2 digit number cab written as - 10×a + b

eg - 68 as 6×10 + 8

S2 ) according to ques

a + b = 6 - eqn 1

(10×a + b) - (10×b + a) = 18

9×a - 9×b = 18

a - b = 2 - eqn 2

S3)from eqn 1 and eqn 2

we get a = 4 and b = 2

hence number is 42