SOLUTION: The sum of two whole number is 45. The difference is 10. What are possible pairs?

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Question 1143595: The sum of two whole number is 45. The difference is 10. What are possible pairs?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by ikleyn(52903) About Me  (Show Source):
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Such integer numbers, satisfying given conditions, do not exist.

No pairs of such integer numbers do exist.

Indeed, if the sum of two integers is 45, then one of these numbers is odd, while the other number is even.

But then the difference of such numbers can not be equal to 10, the even number.

Contradiction (!)