SOLUTION: The product of two brothers' ages is 35. They are two years apart. How old are they?

Question 1141529: The product of two brothers' ages is 35. They are two years apart. How old are they?

Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the older brother's age
Let = the younger brother's age
--------------------------------------------
(1)
(2)
----------------------------
(2)
Plug this result into (1)
(1)
(1)
(1) ( by looking at it )
can't be negative, so

and
(2)
(2)
(2)
----------------------------
The older brother is 7
The younger brother is 5

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find a pair of factors of 35 that differ by 2.
They're integers.
-----
1*35 NG
5*7 That's it.
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