document.write( "Question 280160: Mrs. West is 14 years younger than her aunt. If Mrs. West's age in years is as much below 60 as her aunt's age is over 40, how old is each? \n" ); document.write( "

Algebra.Com's Answer #203608 by JBarnum(2146) $\"\"$ $\"About$

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$\"W\"$ =west age
\n" ); document.write( " $\"A\"$ =aunt age
\n" ); document.write( " $\"x\"$ = amount of years from the 60 or the 40 mark.
\n" ); document.write( "Given:
\n" ); document.write( " $\"W=A-14\"$ \"Mrs. West is 14 years younger than her aunt.\"
\n" ); document.write( " $\"60-x=W\"$ \"If Mrs. West's age in years is as much below 60\"
\n" ); document.write( " $\"x%2B40=A\"$ \" as her aunt's age is over 40\"
\n" ); document.write( "simple substitution is used for $\"W\"$ and $\"A\"$ in $\"W=A-14\"$
\n" ); document.write( " $\"W=A-14\"$
\n" ); document.write( " $\"%2860-x%29=%28x%2B40%29-14\"$
\n" ); document.write( " $\"60-x-x-40=-14\"$
\n" ); document.write( " $\"-2x%2B20=-14\"$
\n" ); document.write( " $\"-2x=-34\"$
\n" ); document.write( " $\"x=17\"$
\n" ); document.write( "plug value of x in these equations to solve for $\"W\"$ and $\"A\"$
\n" ); document.write( " $\"60-x=W\"$
\n" ); document.write( " $\"60-17=W\"$
\n" ); document.write( " $\"highlight%2843=W%29\"$
\n" ); document.write( " $\"x%2B40=A\"$
\n" ); document.write( " $\"17%2B40=A\"$
\n" ); document.write( " $\"highlight%2857=A%29\"$
\n" ); document.write( "Check
\n" ); document.write( " $\"W=A-14\"$
\n" ); document.write( " $\"43=57-14\"$
\n" ); document.write( " $\"43=43\"$
\n" ); document.write( "Correct\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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