Question 1151617

let Vanda’s present age be {{{x}}} and his son's present age be {{{y}}}

if Vanda’s present age is {{{three}}}{{{ times}}} that of his son,

{{{x=3y}}}........eq.1

if {{{9}}} years ago he was {{{five}}}{{{times}}}  as old as his son, we have


{{{x-9=5(y-9)}}}

{{{x=5y-45+9}}}

{{{x=5y-36}}}........eq.2

from eq.1 and eq.2 we have

{{{3y=5y-36}}}

{{{36=5y-3y}}}

{{{36=2y}}}

{{{y=18}}}

go back to

{{{x=3y}}}........eq.1, substitute {{{y}}}

{{{x=3*18}}}

{{{x=54}}}

answer: Vanda’s  present age is {{{54}}} and his son's present age is {{{18}}}