Question

The sum of the digit of a two digit numer is 15. The numer obtained by intercahanging its digits exceeds the given number by 9. Find the number

Answer 1

Step-by-step explanation:

x + y= 15. .1

10x+y=9(x+10y)

x+89y=0...…..2

subtract 1and 2

x+y=15

x+89y=0

-. -. -

-88y=15

Answer 2

Answer:

141

Step-by-step explanation:

let unit digit be X

then tens digit be x+15

atq

therefore, the

given number is 10(X +15)+X

=> 10X+150+X

=>11X+150

on interchanging the digit the resulting new number will be 10(X)+X+15

=>11x+15

given no. =resulting no.+9

11x+150=11x+9

150-9 =11X-11X

141=X