Question 280160
{{{W}}} =west age
{{{A}}} =aunt age
{{{x}}} = amount of years from the 60 or the 40 mark.
Given:
{{{W=A-14}}}"Mrs. West is 14 years younger than her aunt."
{{{60-x=W}}}"If Mrs. West's age in years is as much below 60"
{{{x+40=A}}}" as her aunt's age is over 40"
simple substitution is used for {{{W}}} and {{{A}}} in {{{W=A-14}}}
{{{W=A-14}}}
{{{(60-x)=(x+40)-14}}}
{{{60-x-x-40=-14}}}
{{{-2x+20=-14}}}
{{{-2x=-34}}}
{{{x=17}}}
plug value of x in these equations to solve for {{{W}}} and {{{A}}}
{{{60-x=W}}}
{{{60-17=W}}}
{{{highlight(43=W)}}}
{{{x+40=A}}}
{{{17+40=A}}}
{{{highlight(57=A)}}}
Check
{{{W=A-14}}}
{{{43=57-14}}}
{{{43=43}}}
Correct