Answer:
1:12:4
Explanation:
a = alex's age
g = george's age
c = carl's age
g = a - 12
c = 3a
a + g + c = 68
(substitution) a + a - 12 + 3a = 68
5a = 80
a = 16
g = 4
c = 48
4:48:16 (divide all by 4)
1:4:12
George = x
Alex = 12 + x
Carl = 3(12 + x) = 36 + 3x
x + 12 + x + 36 + 3x = 68
5x + 48 = 68
5x = 20
x = 4
George = x = 4
Alex = 12 + x = 12 + 4 = 16
Carl = 36 + 3x = 36 + 3(4) = 48
4:16:48 = 1:4:12
The ratio is 1:4:12.
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