SOLUTION: The ages of Paul and Judy total 27 years Judy's age plus twice Paul' age is 43 First translate the words into an algebra equation

Question 157569: The ages of Paul and Judy total 27 years
Judy's age plus twice Paul' age is 43
First translate the words into an algebra equation
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The ages of Paul and Judy total 27 years
Judy's age plus twice Paul' age is 43
First translate the words into an algebra equation
----------------
Use P for Paul's age and J for Judy's age. It saves typing.
The 1st sentence says P + J = 27. So far so good.
Then the 2nd sentence:
J + 2*P = 43 See that?
Now we have 2 eqns in 2 unknowns, so we can solve for P and J (not PB & J, tho)
---------
J + P = 27 EQN 1
J + 2P = 43 EQN 2
Subtract EQN 1 from EQN 2
0 + P = 16
So Paul is 16
27 - 16 = 11, so
Jane is 11.
That's it.
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