Question

Mark the correct alternative in the following question:

The present ages of Renu and Ravi are in the ratio 5 : 6. The sum of their present ages is 44 in years. The difference of their ages (in years) is

(a) 4 (b) 5 (c) 8 (d) 2

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{present}\mathrm{ages}\mathrm{of}\mathrm{Renu}\mathrm{and}\mathrm{Ravi}\mathrm{be}5x\mathrm{and}6x. \\ \mathrm{As},\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{their}\mathrm{present}\mathrm{ages}=44\mathrm{years} \\ \Rightarrow 5x+6x=44 \\ \Rightarrow 11x=44 \\ \Rightarrow x=\frac{44}{11} \\ \therefore x=4 \\ \mathrm{Now},\mathrm{the}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{Renu}=5\times 4=20\mathrm{years}\mathrm{and} \\ \mathrm{the}\mathrm{present}\mathrm{ages}\mathrm{of}\mathrm{Ravi}=6\times 4=24\mathrm{years} \\ \mathrm{So},\mathrm{the}\mathrm{difference}\mathrm{of}\mathrm{their}\mathrm{ages}=24-20=4\mathrm{years} \end{gathered}$$

Hence, the correct alternative is option (a).