Question

Ages of Ravi, his father and his grandfather are in the ratio of 2:5:8. Sum of their ages is 150 more than twice the sum of the ratio of the age. Find age of the family members.

Answer 1

Sum of given ratios
2 + 5 + 8
= 15

Given condition,
sum of ages of family members =
150 + 2( 2 + 5 + 8)
=> 150 + 30
=> 180

Now by ratio method
We can calculate the age

Age of Ravi in ratio = 2
sum of ratios = 15
Sum of ages = 180

So Ravi's age =
$\frac{ratio}{sum \: of \: ratio \: } \times sum \: of \: ages \\ = \frac{2}{15} \times 180 \\ = 24$
Ravi's age = 24
Father's age ratio = 5
therefore age =
$\frac{5}{15} \times 180 \\ = 60$
Father's age = 60

Grandfather's ratio = 8
Age =
$\frac{8}{15} \times 180 \\ = 96$
Grandfather's age = 96

Hope it helps dear friend ☺️✌️✌️