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Anna71 [15]
3 years ago
9

Alexis12yearsolderthanGeorge.

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

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

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