Fractions (Pri5)/ Fractions Bukit Panjang Primary School / Homework (2018) $\frac{3}{5}\mathrm{of}\mathrm{Adam}\text{'}s\mathrm{present}\mathrm{age}\mathrm{is}\frac{1}{4}\mathrm{of}\mathrm{Ben}\text{'}s\mathrm{age}2\mathrm{years}\mathrm{ago}.\phantom{\rule{0ex}{0ex}}\mathrm{Their}\mathrm{total}\mathrm{age}\mathrm{in}5\mathrm{years}\text{'}\mathrm{time}\mathrm{is}131.\phantom{\rule{0ex}{0ex}}\mathrm{What}\mathrm{is}\mathrm{Ben}\text{'}s\mathrm{present}\mathrm{age}?$

$\mathrm{If}AB\hspace{0.17em}\mathrm{are}\mathrm{their}\mathrm{current}\mathrm{ages},\phantom{\rule{0ex}{0ex}}\frac{3}{5}A=\frac{1}{4}(B2)\phantom{\rule{0ex}{0ex}}12A=5B10\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}A+5+B+5=131\phantom{\rule{0ex}{0ex}}A=121B\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{So}12(121B)=5B10\phantom{\rule{0ex}{0ex}}145212B=5B10\phantom{\rule{0ex}{0ex}}17B=1462\phantom{\rule{0ex}{0ex}}B=86$ 


