Let Cameron be x years old now.
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Now:
Cameron = x
Uncle =3x
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4 years ago:
Cameron = x - 4
Uncle = 3x - 4
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4 years ago, Uncle is 4 times older:
3x - 4 = 4(x - 4)
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Find x:
3x - 4 = 4(x - 4)
3x - 4 = 4x - 16
4x - 3x = 16 - 4
x = 12
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Find the age:
Cameron = x = 12
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Answer: Cameron is 12 years old now.
Let Cameron's age be c, and Cameron's uncle's age be u.
Cameron's uncle is 3 times as old as he is: u = 3c.
Four years ago, his uncle was 4 times older: u - 4 = 4(c - 4).
Now solve this system:
u = 3c
u - 4 = 4(c - 4)
Substitute 3c for u into the second equation and solve for c.
u - 4 = 4(c - 4)
3c - 4 = 4(c - 4)
3c - 4 = 4c - 16
-c - 4 = -16
-c = -12
c = 12
Answer:
Cameron is 12.
