document.write( "Question 831018: Esther is 18 years younger than her mother. If the sum of their ages 2 years ago was 70.How old is Esther and her mother. \n" ); document.write( "

Algebra.Com's Answer #501069 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+e+\"$ = Esther's age now
\n" ); document.write( "Let $\"+m+\"$ = her mother's age now
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+e+=+m+-+18+\"$
\n" ); document.write( "(2) $\"+%28+e-2+%29+%2B+%28+m-2+%29+=+70+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+-e+%2B+m+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+e+%2B+m+-+4+=+70+\"$
\n" ); document.write( "(2) $\"+e+%2B+m+=+74+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) $\"+-e+%2B+m+=+18+\"$
\n" ); document.write( "(2) $\"+e+%2B+m+=+74+\"$
\n" ); document.write( " $\"+2m+=+92+\"$
\n" ); document.write( " $\"+m+=+46+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+e+=+m+-+18+\"$
\n" ); document.write( "(1) $\"+e+=+46+-+18+\"$
\n" ); document.write( "(1) $\"+e+=+28+\"$
\n" ); document.write( "Esther is 28 and her mother is 46
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+e-2+%29+%2B+%28+m-2+%29+=+70+\"$
\n" ); document.write( "(2) $\"+%28+28-2+%29+%2B+%28+46-2+%29+=+70+\"$
\n" ); document.write( "(2) $\"+26+%2B+44+=+70+\"$
\n" ); document.write( "(2) $\"+70+=+70+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );