Juwan is 36 years younger than Christy. Eight years ago, Christy's age was three times older than Juwan's age. How old is Juwan currently?

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Answer 1 · 2017-02-17T03:45:41

Juwan is #26# years old.

Let #C# be Christy's age (currently) and #J# be Juwan's age (currently).

Then

#{(J = C - 36), (3(J - 8) = C - 8):}#

Simplify the second equation.

#3J - 24 = C - 8#

#C = 3J - 16#

Substitute the second equation into the first.

#J = 3J - 16 - 36#

#J - 3J = -52#

#-2J = -52#

#J = 26#

#:.# Juwan's age now is #26# years old.

Hopefully this helps!