The sum of the two digit number is 12

Asked by admin @ 20/08/2021 in Math viewed by 359 People

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

Answered by admin @ 20/08/2021

Let us assume x and y are the two digits of the number

Therefore, two-digit number is = 10x + y and the reversed number = 10y + x

Given:

x + y = 12

y = 12 – x -----------1

Also given:

10y + x - 10x – y = 18

9y – 9x = 18

y – x = 2 -------------2

Substitute the value of y from eqn 1 in eqn 2

12 – x – x = 2

12 – 2x = 2

2x = 10

x = 5

Therefore, y = 12 – x = 12 – 5 = 7

Therefore, the two-digit
number is 10x + y = (10*5) + 7 = 57

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