The digits of two digit number differ by 3

Asked by admin @ in Math viewed by 353 People

The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?

Answered by admin @


Let us assume, the x is the tenth place digit and y is the unit place digit of the two-digit number. Also assume x > y

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

x - y = 3 ---------------1

Also given:

10x + y + 10y + x = 143
11x + 11y = 143
x + y = 13 ---------------2

Adding equation 1 and equation 2

2x = 16
x = 8

Therefore, y = x - 3 = 8 - 3 = 5

Therefore, the two-digit number = 10x + y = 10 * 8 + 5 = 85

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