Question

The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference between oldest and youngest ?

Answer 1

48 years.

Explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

`9x+15x+25x=147`

`49x=147`

`x=3`

The value of x is 3. So, the age of all three are

`Kissi=9x=9(3)=27`

`Esinam=15x=15(3)=45`

`Lariba=25x=25(3)=75`

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

`75-27=48`

Hence, difference between oldest and youngest is 48 years.