Question

If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and the sum of the ages of all 3 is 147 years, what is the age difference between oldest the youngest?

Answer 1

48

Explanation:

Esinam shere a common ratio hence,

the lcm of 3 and 5 is 15

Kissi:Esinam= 9:15 and Esinam:Lariba=15:25

Combining; 9:15:25

Let x be the ages such that,

Kissi=9x and Esinam=15x and Lariba=25x

9x+15x+25x=147

49x=147

x=3

Youngest; Kissi=9x=9(3)=27

Oldest; Lariba=25x=25(3)=75

Difference 75-27=48