Question

A man 26 years older than his son. in five years, their ages will totalbecome 70. What are their present ages ?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{son}=\mathrm{x}\mathrm{yrs} \\ \mathrm{then}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{father}=\left(\mathrm{x}+26\right)\mathrm{yrs} \\ \mathrm{Now},\mathrm{after}5\mathrm{years}: \\ \mathrm{son}\text{'}\mathrm{s}\mathrm{age}=\left(\mathrm{x}+5\right)\mathrm{yrs} \\ \mathrm{Father}\text{'}\mathrm{s}\mathrm{age}=\left(\mathrm{x}+31\right)\mathrm{yrs} \\ \mathrm{According}\mathrm{to}\mathrm{question}, \\ \mathrm{x}+5+\mathrm{x}+31=70 \\ \Rightarrow 2\mathrm{x}+36=70 \\ \Rightarrow 2\mathrm{x}=70-36 \\ \Rightarrow 2\mathrm{x}=34 \\ \Rightarrow \mathrm{x}=17 \\ \mathrm{So},\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{son}=17\mathrm{yrs} \\ \mathrm{present}\mathrm{age}\mathrm{of}\mathrm{father}=17+26=43\mathrm{yrs} \end{gathered}$$