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

$$\begin{gathered} \mathrm{Suppose}\mathrm{ages}\mathrm{of}\mathrm{Ravi},\mathrm{his}\mathrm{father}\mathrm{and}\mathrm{his}\mathrm{grand}\mathrm{father}\mathrm{are}2\mathrm{x},5\mathrm{x}\mathrm{and}8\mathrm{x}. \\ \mathrm{According}\mathrm{to}\mathrm{question}, \\ 2\mathrm{x}+5\mathrm{x}+8\mathrm{x}=150+2\left(2+5+8\right) \\ 15\mathrm{x}=150+30 \\ 15\mathrm{x}=180 \\ \mathrm{x}=12 \\ \mathrm{Therefore},\mathrm{ages}\mathrm{of}\mathrm{Ravi},\mathrm{his}\mathrm{father}\mathrm{and}\mathrm{his}\mathrm{grandfather}\mathrm{are}2\times 12,5\times 12\mathrm{and}8\times 12. \\ \mathrm{i}.\mathrm{e}24,60\mathrm{and}96. \end{gathered}$$