Sims age was 3/4 of Mary’s age 5 years ago if Tim will be 5/6 of Mary’s Age in 3 years, what is the sum of the ages right now

Question

Explanation and Solution

Answer 1

S-5=(3/4)(M-5)

S=3M/4 -5/4+5 = 3M/4 +15/4

T+3 = (5/6)(M+3)

T=5M/6 +15/6-3 = 5M/6-1/2

S+M+T = 3M/4+15/4 + M + 5M/6 - 1/2 = 31M/12 -13/4

You can get the sum in terms of just one age, but you only have 2 equations 3 unknowns to there is no unique solution