Question

The digits of a 2-digit number is differ by 1. After interchanging both the number is differ by 9. find the number.​

Answer 1

EXPLANATION.

• GIVEN

The digit of a 2 digit number is differ by 1.

After interchanging both the number is differ

by 9

TO FIND THE Number.

According to the question,

Let the tens place = x

Let the unit place = y

original number = 10x + y

reversing number = 10y + x

Case = 1

digit of two digit number is differ by 1

=> x - y = 1 ......(1)

case = 2

after interchanging both the number is differ

by 9

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

=> 10x + y - 10y - x = 9

=> 9x - 9y = 9

=> x - y = 1 ........(2)

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

=> x = 0 and y = 0

Therefore,

Number are = 0