SOLUTION: A is 5 years older than Y. B is double A's age. A+B+Y <30. What is B's greatest possible age?

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Question 1085835: A is 5 years older than Y. B is double A's age. A+B+Y <30.
What is B's greatest possible age?
Found 2 solutions by Cromlix, MathTherapy:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make Y = x
A = 5 + x
B = 2(5 + x)
Y = x
A = 5 + x
B = 10 + 2x
Add up
x + x + 5 + 10 + 2x < 30
Collect like terms
x + x + 2x < 30 - 5 - 10
4x < 15
x < 15/4
x < 3.5 years
B < 10 + 2(3.5)
B < 17
Hope this helps :-)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A is 5 years older than Y. B is double A's age. A+B+Y <30.
What is B's greatest possible age?
With B's age being B, the correct INEQUALITY is: %28B+-+10%29%2F2+%2B+5+%2B+B+%2B+%28B+-+10%29%2F2+%3C+30

Solving this inequality results in: B < 17.5, so B's GREATEST POSSIBLE AGE is: highlight_green%28matrix%281%2C2%2C+17%2C+years%29%29