Question

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?

Answer 1

Answer:

The youngest one is 4 years

Step-by-step explanation:

The ratio of Akbar's age to Ali's age is 2 : 5

= 2/5

The oldest = Ali

Hence, let's represent Akbar's age as y

2/5 = y/10

Cross Multiply

5y = 2 × 10

y = 20/5

y = 4 years old.

Akbar's age = 4 years old.

Akbar's age to Arman's age is 1 : 2

= 1/2

Hence, let's represent Arman's age as z

1/2 = 4/z

Cross Multiply

= z = 2 × 4

z = 8 years old

Arman's age = 8 years old.

Therefore, the age of the youngest = 4 years old.