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Question Number 27568 by MASANJA last updated on 09/Jan/18

$$carolis6timesasoldashernephew$$$$Hondo.Babyis22yearsyongerthan$$$$herauntcarol.Infouryears{carol}^{\prime }s$$$$agewillbetwicethesumof{Hondo}^{\prime }s$$$$and{Baby}^{\prime }sage.Howoldiseachperso$$$$nnow?$$

Answered by Rasheed.Sindhi last updated on 10/Jan/18

$$\left(\begin{array}{cccc}& \mathrm{Carol}& \mathrm{Hondo}& \mathrm{Baby}\\ \mathrm{Now}& 6\mathrm{x}& \mathrm{x}\left(\mathrm{Say}\right)& 6\mathrm{x}-22\\ +4\mathrm{years}& 6\mathrm{x}+4& \mathrm{x}+4& \{\begin{array}{l}6\mathrm{x}-22+4\\ =6\mathrm{x}-18\end{array}\end{array}\right)$$$${\mathrm{C}}^{+4}=2({\mathrm{H}}^{+4}+{\mathrm{B}}^{+4})$$$$\{\begin{array}{l}{\mathrm{C}}^{+4}:{\mathrm{Carol}}^{\prime }\mathrm{s}\mathrm{age}\mathrm{after}4\mathrm{years}.\\ {\mathrm{H}}^{+4}:{\mathrm{Hondo}}^{\prime }\mathrm{s}\mathrm{age}\mathrm{after}4\mathrm{years}.\\ {\mathrm{B}}^{+4}:{\mathrm{Baby}}^{\prime }\mathrm{s}\mathrm{age}\mathrm{after}4\mathrm{years}.\end{array}$$$$\stackrel{{\mathrm{C}}^{+4}}{6\mathrm{x}+4}=2\{\left(\stackrel{{\mathrm{H}}^{+4}}{\mathrm{x}+4}\right)+\left(\stackrel{{\mathrm{B}}^{+4}}{6\mathrm{x}-18}\right)\}$$$$6\mathrm{x}+4=14\mathrm{x}-28$$$$14\mathrm{x}-6\mathrm{x}=4+28$$$$\mathrm{x}=4\left({\mathrm{Hondo}}^{\prime }\mathrm{s}\mathrm{age}\mathrm{now}\right)$$$$6\mathrm{x}=24\left({\mathrm{Carol}}^{\prime }\mathrm{s}\mathrm{age}\mathrm{now}\right)$$$$6\mathrm{x}-22=2\left({\mathrm{Baby}}^{\prime }\mathrm{s}\mathrm{age}\mathrm{now}\right)$$

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