Adam is 3 times as old as Cynthia and Fred is 16 years younger than Adam. One year ago, Adam's age was twice the sum of Cynthia's and Fred's age. Find their present age:

(Write answer as Adam is __, Cynthia is __, Fred is __)

1 answer

Cyntia --- x
Adam ---- 3x
Fred ----- 3x - 16

one year ago:
Cyntia --- x-1
Adam ---- 3x-1
Fred ----- 3x - 17

at that time "Adam's age was twice the sum of Cynthia's and Fred's age"
---> 3x-1 = x-1 + 3x-17

solve for x

check that your answer meets the conditions