SOLUTION: Paula is twice as old as Queenie. Seven years ago the sum of their ages was 16. How old is Queenie now?

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Question 1203319: Paula is twice as old as Queenie. Seven years ago the sum of their ages was 16. How old is Queenie now?
Found 3 solutions by Edwin McCravy, math_tutor2020, greenestamps:
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
Paula is twice as old as Queenie.
P = 2Q
Seven years ago the sum of their ages was 16.
P-7 + Q-7 = 16
How old is Queenie now?
Substitute 2Q for P in the second equation and solve for Q.
You finish.
Edwin

Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!

x = Queenie's age today

Paula Queenie
Today 2x x
Seven years ago 2x-7 x-7

Add the expressions in the bottom row. That sum is 16.

(2x-7) + (x-7) = 16
3x-14 = 16
3x = 16+14
3x = 30
x = 30/3
x = 10

Answer: Queenie is 10 years old.

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

If 7 years ago the sum of their ages was 16, then the sum of their ages now is 16+7+7 = 30.

x = Queenie's age now
2x = Paula's age now

x+2x=30
3x=30
x=10

ANSWER: Queenie is now x=10 years old