Question 1177429


let Lauren's age be {{{L}}} and Kate's age {{{K}}}

if Lauren is {{{3 }}}years older than four times Kate, we have

{{{L=4K+3}}} .........eq.1


if the sum of there age is {{{58}}}, we have

{{{L+K=58}}} .........eq.2...............substitute {{{L}}} from eq.1

{{{4K+3+K=58}}}

{{{5K=58-3}}}

{{{5K=55}}}

{{{K=11}}}



go to


{{{L=4K+3}}} .........eq.1, substitute {{{K}}}

{{{L=4*11+3}}}

{{{L=47}}}


so, Lauren is {{{47}}} and Kate is {{{11}}} years old