Answer:
1:12:4
Step-by-step explanation:
We let the youngest, George, age be x
From the question Alex is 12 years older than George.
This implies that,in terms of x, Alex's age is x+12
Also,Carl is three times older than Alex
This implies that, in terms of x Carl's age is 3(x+12)
The sum of their ages is 68
This implies that
[tex]x + x + 12 + 3(x + 12) = 68[/tex]
we simplify to get the value for x
[tex] \implies 2x + 12 + 3x + 36 = 68[/tex]
[tex] \implies 5x + 48= 68[/tex]
subtracting 48 from both sides
[tex]\implies 5x + 48 - 48= 68 - 48[/tex]
[tex]\implies 5x = 20 [/tex]
Dividing through by 5
[tex]\implies \frac{5x}{5}= \frac{20}{5} [/tex]
[tex]\implies x = 4[/tex]
Hence George is 4yrs old,Alex is 16 yrs old and Carl is 48 yrs old.
Therefore the ratio of George’s age to Carl’s age to Alex’s age is 4:48:16=1:12:4
