Question

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


Answer 1

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

Answer 2

1 : 12 : 4

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 :)