If Will gives Molly $9, he will have the same amount of money as her. If Molly gives Will $9, the ratio of the money she has to the money Will has will be 1 : 2. How much money does Will have in the beginning?

1 answer

w-9 = m+9
(m-9)/(w+9) = 1/2

Now, solve for w:

m=w-18, so
(w-18-9)/(w+9) = 1/2
2w-54 = w+9
w = 63
check:
m=63-18 = 45
(45-9)/(63+9) = 36/72 = 1/2