Alexis12yearsolderthanGeorge.
Carl is three times older than Alex
The sum of their ages is 68
Find the ratio of George’s age to Carl’s age to Alex’s age.
1:2:5:5:7


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

we simplify to get the value for x

subtracting 48 from both sides

Dividing through by 5

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

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11