How old is Diego now

Question

Diego is 36 years younger than Tiana. 5 years ago, Tiana's age was 3 times Diego's age. How old is Diego now?

Answer 1

D = T-36 <--- 36 years difference in age right now

 

3(D-5) = T-5 <--- 5 years ago, she was 3 times as old.

 

3( T-36-5) = T-5

3(T-41) = T-5

3T - 123 = T - 5

3T - 123 - T + 5 = 0

2T - 118 = 0

2T = 118

T = 59.

 

D=59-36 = 23

 

5 years ago: (59-5)= 54  vs 23-5 = 18

                        which is 3 times as old.

 

Tiana 59 and Diego 23