Question

Alexis12yearsolderthanGeorge.

Answer 1

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

$x + x + 12 + 3(x + 12) = 68$

we simplify to get the value for x

$\implies 2x + 12 + 3x + 36 = 68$

$\implies 5x + 48= 68$

subtracting 48 from both sides

$\implies 5x + 48 - 48= 68 - 48$

$\implies 5x = 20$

Dividing through by 5

$\implies \frac{5x}{5}= \frac{20}{5}$

$\implies x = 4$

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