SOLUTION: Abbie is 5 years older than Cathy, bhavana is twice as old as Abbie, the total of their age is less than 30. What is bhavna's greatest possible age? Thank you

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Question 1094558: Abbie is 5 years older than Cathy, bhavana is twice as old as Abbie, the total of their age is less than 30. What is bhavna's greatest possible age? Thank you
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
C = A-5
B = 2A
A+A-5+2A < 30
4A = 35
A = 8.75 (8 years and 8 months)
B =< 17.5 (17 and 6 months or 17 1/2)

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Abbie is 5 years older than Cathy, bhavana is twice as old as Abbie, the total of their age is less than 30. What is bhavna's greatest possible age? Thank you
Let Bhavana's age be B
Then Abbie's is: matrix%281%2C3%2C+%281%2F2%29+%2A+B%2C+or%2C+B%2F2%29
Also, Cathy's is: B%2F2+-+5
We then get: B+%2B+B%2F2+%2B+B%2F2+-+5+%3C+30
B + B - 5 < 30
2B < 35
B, or Bhavana is < 17.5 years-old, so Bhavana's greatest possible age is: highlight_green%2817%29