document.write( "Question 597769: a mother was 26 years old when her daughter was born. Today the sum of three times her age plus twice her daughters age is 103 years. how old are they today \n" ); document.write( "

Algebra.Com's Answer #378381 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let m = Mom's present age
\n" ); document.write( "Let d = daughter's
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "\"a mother was 26 years old when her daughter was born.\"
\n" ); document.write( "This means
\n" ); document.write( "m = d + 26
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\n" ); document.write( "\"Today the sum of three times her age plus twice her daughters age is 103 years.\"
\n" ); document.write( "3m + 2d = 103
\n" ); document.write( "Replace m with (d+26)
\n" ); document.write( "3(d+26) + 2d = 103
\n" ); document.write( "3d + 78 + 2d = 103
\n" ); document.write( "5d = 103 - 78
\n" ); document.write( "5d = 25
\n" ); document.write( "d = 25/5
\n" ); document.write( "d = 5 yrs is daughter's age
\n" ); document.write( "and
\n" ); document.write( "m = 5 + 26
\n" ); document.write( "m = 31 yrs is Mom's age
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\n" ); document.write( ":
\n" ); document.write( "Check solutions in the statement:
\n" ); document.write( "\"The sum of three times her age plus twice her daughters age is 103 years.\"
\n" ); document.write( "3(31) + 2(5) = 103 \n" ); document.write( "

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