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Brilliant_brown [7]
3 years ago
5

Cameron's uncle is 3 times old as he is. 4 years ago, he was 4 times older. How old is Cameron?

Mathematics
2 answers:
Anestetic [448]3 years ago
7 0

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.

erma4kov [3.2K]3 years ago
3 0

Let Cameron be x years old now.

-

<u>Now:</u>

Cameron = x

Uncle =3x

-

<u>4 years ago:</u>

Cameron = x - 4

Uncle = 3x - 4

-

<u>4 years ago, Uncle is 4 times older:</u>

3x - 4 = 4(x - 4)

-

<u>Find x:</u>

3x - 4 = 4(x - 4)

3x - 4 = 4x - 16

4x - 3x = 16 - 4

x = 12

-

<u>Find the age:</u>

Cameron = x = 12

-

Answer: Cameron is 12 years old now.

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