SOLUTION: Aby and his brother Ben are teenagers. Ben is 3 years younger than Aby and the GCF of their age is 3. how old is Ben?

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Question 936903: Aby and his brother Ben are teenagers. Ben is 3 years younger than Aby and the GCF of their age is 3. how old is Ben?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Aby and his brother Ben are teenagers.
13 ≤ A ≤ 19,   13 ≤ B ≤ 19

Ben is 3 years younger than Aby
B = A-3, so we substitute A-3 for B and

13 ≤ B ≤ 19 becomes

13 ≤ A-3 ≤ 19

We add 3 to all three sides:

16 ≤ A ≤ 22, but since A ≤ 19,

16 ≤ A ≤ 19

the GCF of their age is 3
So A is a multiple of 3 and the only multiple of 3
between 16 and 19 is 18, so 

A = 18 and B = A-3 = 18-3 = 15.

Edwin