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Ratio of George age to Carl's age to Alex age = 1 : 12 : 4

Step-by-step explanation:

Let the age of Alex = A years

Age of George = G years

And age of Carl = C years

"Alex is 12 years older than George"

A = G + 12 (1)

"Carl is 3 times older than Alex"

C = 3A

C = 3(G + 12)

C = 3G + 36 (2)

"Sum of their ages is 68 years"

A + G + C = 68 (3)

By substituting the values of A and G in equation (3)

G + 12 + G + 3G + 36 = 68

5G + 48 = 68

5G = 20

G = 4 years

From equation (1),

A = 4 + 12 = 16 years

From equation

C = 3(4) + 36

C = 12 + 36

C = 48 years

Ratio of their ages = G : C : A

                               = 4 : 48 : 16

                               = 1 : 12 : 4

5/12, or 5: 12

step-by-step explanation: