SOLUTION: Zac is four years younger than Alex. Lucas is twice Alex’s age. The sum of the ages equal 64. How old is Alex?

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Question 1191937: Zac is four years younger than Alex. Lucas is twice Alex’s age. The sum of the ages equal 64. How old is Alex?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Zac             y-4
Alex             y
Lucas           2y
SUM             64

4y-4=64
-
4y=68
highlight%28y=17%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given information compares the ages of both Zac and Lucas to the age of Alex, so use Alex's age as your starting point.

x = Alex's age
x-4 = Zac's age (4 younger than Alex)
2x = Lucas's age (twice Alex's age)

The sum of the ages is 64:

(x)+(x-4)+(2x) = 64
4x-4 = 64
4x = 68
x = 17

ANSWER: Alex's age is x = 17