Can you help the man?

Algebra Level 1

A man asked, “How old are you, Marvin? Marvin replied, “My present age is a two digit number: if you add the digits, the answer is 8. And if you subtract the tens digit from the units digit, the answer is 2.”

Can you help the man calculate the age of Marvin? What is his present age?


The answer is 35.

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1 solution

Let t t be the tens digit and u u be the units digit. The equations are

t + u = 8 t + u=8 and u t = 2 u-t=2 . Solving these two equations gives t = 3 t = 3 and u = 5 u=5 . So Marvin's age is 35 35 .

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