Thee years ago Tyler was 3 times as old as Jake in 17 years Tyler will be 4/3 times as old as jake how old are they

Answer 1

T and J are their PRESENT ages:

T+17 = (4/3)(J+17) <--- in 17 years, Tyler will be (4/3) times as old as Jake

T-3 = 3(J-3)

T-3 = 3J - 9

T = 3J - 6 <-- use this for later

3J-6 + 17 = (4/3)(J+17)

3J + 11 = (4/3)(J+17)

9J + 33 = 4J + 68

5J = 35

J = 7

Jake is 7, Tyler is 15 per above equation in bold

In 17 years, Tyler will be 32 and Jake will be 2, and (4/3)(24) = 32.

3 years ago, Tyler was 12 and Jake was 4 and 4*3=12.

So yes, they check out.

Jake is 7, Tyler is 15