The sum of a two digit number is 12
Asked by admin @ in Math viewed by 418 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
Asked by admin @ in Math viewed by 418 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
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