THE SUM OF 3 CHILDREN IS 30 YEARS . AFTER 5 YEARS THE SUM OF THEIR AGES WILL BE

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$$\begin{gathered} \mathrm{Let} \mathrm{present} \mathrm{ages} \mathrm{of} \mathrm{three} \mathrm{children} \mathrm{be} \mathrm{A},\mathrm{B} \mathrm{and} \mathrm{C}. \\ \mathrm{According} \mathrm{to} \mathrm{question}: \\ \mathrm{A}+\mathrm{B}+\mathrm{C}=30 ;\left(\mathrm{i}\right) \\ \mathrm{After} 5 \mathrm{years} \mathrm{each} \mathrm{of} \mathrm{them} \mathrm{will} \mathrm{be} 5 \mathrm{years} \mathrm{older}. \\ \Rightarrow \mathrm{Sum} \mathrm{of} \mathrm{ages} \mathrm{after} 5 \mathrm{years}=\left(\mathrm{A}+5\right)+\left(\mathrm{B}+5\right)+\left(\mathrm{C}+5\right) \\ =\mathrm{A}+\mathrm{B}+\mathrm{C}+5+5+5 \\ =\mathrm{A}+\mathrm{B}+\mathrm{C}+15 \\ =30+15 \left[\mathrm{Using} \mathrm{equation} \left(\mathrm{i}\right)\right] \\ =\mathbf{45}\mathbf{ }\left(\mathbf{Answer}\right) \end{gathered}$$

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