Question 1167887
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Ari is 3 times as old as Ben now. In 6 years' time, the total age of Ari and Ben will be 84 years. How old will Ben be in 6 years' time?
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Ari is k times as old as Ben now. In p years' time, the total age of Ari and Ben will be t years. How old will Ben be in p years' time?
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A, Ari
B, Ben


{{{system(A=kB,A+p+B+p=t)}}}


{{{A=kB,A+B=t-2p}}}


{{{kB+B=t-2p}}}

{{{B(k+1)=t-2p}}}

{{{B=(t-2p)/(k+1)}}}
How old will Ben be in p years?
{{{B+p=highlight((t-2p)/(k+1)+p)}}}


Putting in the values,  {{{highlight(B+6)=(84-2*6)/(3+1)+6=highlight(24)}}}