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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 & Fred's age. Find their present age

Guest Mar 4, 2017
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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 & Fred's age. Find their present age.

 

Let Cynthia's age = C

Adam's age =3C

Fred's age =3C - 16

 

3C - 1 =2[C  - 1 + 3C - 16 - 1], solve for C

C = 7 - Cynthia's age today.

7x3 = 21 - Adam's age today

21 - 16 = 5 - Fred's age today.

21 -1 =2[7-1 + 5 - 1]

20=2[6 + 4]=20 - Their ages 1 year ago.

Guest Mar 4, 2017

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