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 ?

Respuesta :

Answer:

48 years.

Step-by-step 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.

[tex]9x+15x+25x=147[/tex]

[tex]49x=147[/tex]

[tex]x=3[/tex]

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

[tex]Kissi=9x=9(3)=27[/tex]

[tex]Esinam=15x=15(3)=45[/tex]

[tex]Lariba=25x=25(3)=75[/tex]

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

[tex]75-27=48[/tex]

Hence, difference between oldest and youngest is 48 years.