The sum of a two digit number is 12


Asked by admin @ in Math viewed by 402 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 @



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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