Question 1152323

let Jack's age be {{{x}}} and Jill's age {{{y}}}

if Jack is twice as old as Jill, we have

{{{x=2y}}}........eq.1

if in five years time he will only be {{{one}}} and a {{{half}}} times as old, we have

{{{x+5=1.5(y+5)}}}
{{{x=1.5y+1.5*5-5)}}}
{{{x=1.5y+7.5-5)}}}
{{{x=1.5y+2.5)}}}........eq.2

from eq.1 and eq.2 we have

{{{2y=1.5y+2.5}}}

{{{2y-1.5y=2.5}}}

{{{0.5y=2.5}}}

{{{y=2.5/0.5}}}

{{{y=5}}}

go to eq.1

{{{x=2y}}}........eq.1, substitute {{{y}}}

{{{x=2*5}}}

{{{x=10}}}

 Jack is {{{10}}} years old now and Jill is {{{5}}} years old now