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Akbar, Ali and Arman are 3 brothers. The ratio of Akbar's age to Arman's age is 1 : 2 and the ratio of Akbar's age to Ali's age is 2 : 5. If the eldest boy is 10 years old, how old is the youngest one?

 Sep 24, 2020
 #1
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Akbar, Ali and Arman are 3 brothers. The ratio of Akbar's age to Arman's age is 1 : 2 and the ratio of Akbar's age to Ali's age is 2 : 5. If the eldest boy is 10 years old, how old is the youngest one?

 

Hello Guest!

 

\(ak:ar=1:2\\ ak:al=2:5\)

 

\(5ak=ar\\ 5ak=2al\\ \color{blue}5ak=2al=ar\\ \)

Arman is 10 years old, Akbar is 2 years and Ali is 5 year old.

laugh  !

 Sep 24, 2020
edited by asinus  Sep 24, 2020
 #2
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Akbar / Arman = 1 / 2

Akbar / Ali = 2 / 5

 

Ali is the oldest = 10 years

 

Akbar =2 * Ali / 5 =2 * 10 / 5 = 4 years old

 

4 / Arman = 1 / 2

Arman =2 * 4 = 8 years old

 

Check: Akbar / Arman =4 / 8 =1 : 2
Akbar / Ali = 4 / 10 = 2 / 5 =2 : 5

 Sep 24, 2020

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