Question 116917


{{{Pias- age=x}}}

{{{one-half _of _pias _age_two_ years _from _now  = (x+2)/2}}}… 
	
one-third of her age three years ago: {{{(x-3)/3}}}

one-half of Pias age two years from now plus one-third of her age three years ago is 20 yrs:

{{{(x+2)/2 + (x-3)/3 = 20 }}}…..solve for {{{x}}}………first multiply both sides by {{{6}}}

{{{6(x +2)/2 + 6( x-3)/3 = 6*20 }}}…..	

{{{3(x + 2 ) + 2( x-3) = 120 }}}…..

{{{3x + 6 + 2x - 6= 120 }}}…..

{{{5x = 120 }}}…..

{{{x = 120/5 }}}….. 

{{{x = 24}}}…..she is now {{{24}}} years old

check

if Pia is {{{24}}} years old, one-half of Pias age two years from now will be {{{(24+2)/2= 26/2=13}}}

one-third of her age three years ago {{{24-3)/3=7}}}
	
{{{13 + 7 = 20}}}