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. 
<pre>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_____{{{matrix(1,7, L, "=", (M + 22)/4, or, L, "=", M/4 + 11/2)}}} 
And, M - 4 = 3(L - 4) - 1_____3L = M + 9_____{{{matrix(1,7, L, "=", (M + 9)/3, or, L, "=", M/3 + 3)}}}
WIth L being {{{matrix(1,3, M/4 + 11/2, and, M/3 + 3)}}}, we can say that: {{{matrix(1,3, M/4 + 11/2, "=", M/3 + 3)}}}
3M + 66 = 4M + 36 ------ Multiplying by LCD, 12
3M - 4M = 36 - 66
- M = - 30
Megan's age, or {{{matrix(1,5, M, "=", (- 30)/(- 1), "=", 30)}}}
In 3 years' time, Megan will be: {{{highlight_green(matrix(1,4, 30 + 3, "=", 33, years-old))}}}