SOLUTION: Please help me solve this age word problem: Alice is 2 years older than Bobby who is twice as old as Carol. If the total of the ages of Alice, Bobby and Carol is 27 years, ho

Question 735051: Please help me solve this age word problem:
Alice is 2 years older than Bobby who is twice as old as Carol.
If the total of the ages of Alice, Bobby and Carol is 27 years, how old is Bobby ? Kindly show the steps.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
a for Alice
b for Bob
c for Carol

, ,

Maybe two or more solution processes are possible. Do a couple of substitutions for a least advanced solving method. A fairly logical way could be substitute b into the first equation, use this result for a to substitute into the third equation. Now, substitute the formula for b (from the second equation into the third equation). You now have an equation with only c as the variable. Finish solving.

What I described is this:
a=(2c)+2,
The next substitution is into a+b+c=27,
(a)+b+c=27
(2c+2)+b+c=27
Following that, the next substitution using b is,
(2c+2)+(2c)+c=27
2c+2+2c+c=27
and you can finish this easily(?).
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