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3 years ago

Alexis12yearsolderthanGeorge.

Mathematics

2 answers:

stiks02 [169]3 years ago

4 0

Answer:

1 : 12 : 4

Step-by-step explanation:

Carl = C

George = G

Alex = A

A = 12 + G , G = A - 12

C = 3 * A

C + G + A = 68

Substitute new values for G and C into equation

3 * A + A - 12 + A = 68

5A - 12 = 68

Add 12 to both sides of the equation

5A = 80

A = 16

Alex is 16 years old

Carl is 48 years old

George is 4 years old

4 : 48 : 16

Simplify

2 : 24 : 8

Simplify further

1 : 12 : 4

Hope this helps :)

Arisa [49]3 years ago

3 0

Answer:

Step-by-step explanation:

Let George's age be x years

Alexis is (x+12)years

Carl is 3(x+12) years =(3x +36)years

Sum of their ages =68

x+x+12+3x+36=68

5x+48=68

5x=68-48=20

x=20/5= 4years

George is 4 years old

Alexis is 4+12 =16 years old

Carl is 3 times alexis age = 3×16= 48 years old

Ratio of George to Carl to Alex is 4:48:16

Reduce to lowest term since 4 can still go through

Ratio =1:12:4

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