SOLUTION: Gabby is 1 year more than twice Larry's age. 3 years from now, Megan will be 27 less than twice Gabby's age. 4 years ago, Megan was 1 year less than 3 times Larry's age. How old wi

Question 1079104: Gabby is 1 year more than twice Larry's age. 3 years from now, Megan will be 27 less than twice Gabby's age. 4 years ago, Megan was 1 year less than 3 times Larry's age. How old will Megan be 3 years from now?
I'm having trouble with the equation.
Found 3 solutions by VFBundy, josgarithmetic, MathTherapy:
Answer by VFBundy(438)   (Show Source): You can put this solution on YOUR website!
G = Gabby's age now
L = Larry's age now
M = Megan's age now

Gabby is 1 year more than twice Larry's age:
G = 2L + 1

3 years from now, Megan will be 27 less than twice Gabby's age:
M + 3 = 2(G + 3) - 27

Substitute G with 2L + 1:
M + 3 = 2((2L + 1) + 3) - 27

Simplify the above:
M + 3 = 4L - 19

Solve for L:
4L = M + 22

L = (M + 22)/4

4 years ago, Megan was 1 year less than 3 times Larry's age:
M - 4 = 3(L - 4) - 1

Simplify the above:
M - 4 = 3L - 13

Solve for M:
M = 3L - 9

Substitute L with (M + 22)/4:

Simplify above:

Solve for M:

4M = 3M + 30

M = 30

M = Megan's age now = 30

How old will Megan be 3 years from now?

M + 3 = 30 + 3 = 33

Megan will be 33 three years from now.

---------------------------------------------------
Just for kicks, their ages now:
Megan = 30
Larry = 13
Gabby = 27
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
G, Gabby
L, Larry
M, Megan

Literal translation of the description:

Simplifications:

Now solve this system.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Gabby is 1 year more than twice Larry's age. 3 years from now, Megan will be 27 less than twice Gabby's age. 4 years ago, Megan was 1 year less than 3 times Larry's age. How old will Megan be 3 years from now?
I'm having trouble with the equation.

Let Megan's and Larry's ages be M, and L, respectively
Then Gabby's = 2L + 1
Also, M + 3 = 2(2L + 1 + 3) - 27_____4L = M + 22_____
And, M - 4 = 3(L - 4) - 1_____3L = M + 9_____
WIth L being , we can say that:
3M + 66 = 4M + 36 ------ Multiplying by LCD, 12
3M - 4M = 36 - 66
- M = - 30
Megan's age, or
In 3 years' time, Megan will be:
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