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?
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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?
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Answer: x = 8 , y = 5
Step-by-step explanation:
Let digits be x and y where x is in the tens place
First, x - y = 3
Second, 10y + x + 10x + y = 143
=> 11x + 11y = 143
=> 11(x + y) = 143
=> x + y = 13
By solving the two equation you will get the answer
x + y + x - y = 13 + 3
2x = 16
x = 8
y = x - 3
y = 8 - 3
y = 5