Question

The sum of the digit of two digit number is 12. The number obtained by interchanging the digits exceeds the given number by 18. Find the number. cross multiplication method​

Answer 1

Answer:

Required Number = (10x+y). Number obtained on reversing the digits = (10y+x). Hence, the required number is 57.

Answer 2

Step-by-step explanation:

Let the given number be 10x+y

Given x+y = 12

By interchanging

10y+x = 10x+y+18

10y-y = 10x-x+18

9y=9x+18

y=x+2

y-x = 2

y+x = 12 (given)

Add both.. We get

2y = 14

y = 7

So x = 5 (since y-x=2)

So given nunber xy = 57