document.write( "Question 910263: My family consists of father, mother and a sister. My father is 2 years older than my mother. My sister's age is 3 less than 1/2 the age of my mother. The sum of 1/3 of my father's age and 1 more than the half the age of my sister is my age. If the total of all our ages is now 141, how old am I? \n" ); document.write( "
Algebra.Com's Answer #552541 by ankor@dixie-net.com(22740)\"\" \"About 
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let y = your age
\n" ); document.write( "let f = father's age
\n" ); document.write( "let m = mother's age
\n" ); document.write( "let s = sister's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement;
\n" ); document.write( ":
\n" ); document.write( "My father is 2 years older than my mother.
\n" ); document.write( "f = m + 2
\n" ); document.write( " My sister's age is 3 less than 1/2 the age of my mother.
\n" ); document.write( "s = \"1%2F2\"m - 3
\n" ); document.write( " The sum of 1/3 of my father's age and 1 more than the half the age of my sister is my age.
\n" ); document.write( "y = \"1%2F3\"f + \"1%2F2\"s + 1
\n" ); document.write( "replace f with (m+2), replace s with (.5m-3)
\n" ); document.write( "y = \"1%2F3\"(m+2) + \"1%2F2\"(.5m-3) + 1
\n" ); document.write( ":
\n" ); document.write( "If the total of all our ages is now 141,
\n" ); document.write( "y + f + m + s = 141
\n" ); document.write( ":
\n" ); document.write( "replace f with (m+2); replace s with (.5m-3)
\n" ); document.write( "y + (m+2) + m + (.5m-3) = 141
\n" ); document.write( "y + 2.5m - 1 = 141
\n" ); document.write( "y + 2.5m = 142
\n" ); document.write( ":
\n" ); document.write( "replace y
\n" ); document.write( "\"1%2F3\"(m+2) + \"1%2F2\"(.5m-3) +1 + 2.5m = 142
\n" ); document.write( ":
\n" ); document.write( "multiply equation by 6
\n" ); document.write( "2(m+2) + 3(.5m-3) + 6(2.5m) + 6 = 6(142)
\n" ); document.write( "2m + 4 + 1.5m - 9 + 15m + 6 = 852
\n" ); document.write( "18.5m + 1 = 852
\n" ); document.write( "18.5m = 851
\n" ); document.write( "m = 851/18.5
\n" ); document.write( "m = 46 yrs is Mom's age
\n" ); document.write( "then
\n" ); document.write( "48 yrs is Dad's age
\n" ); document.write( "and
\n" ); document.write( ".5(46) - 3 = 20 yrs is sisters age
\n" ); document.write( "how old am I?
\n" ); document.write( "y = \"1%2F3\"(48) + \"1%2F2\"(20) + 1
\n" ); document.write( "y = 16 + 10 + 1
\n" ); document.write( "y = 27 yrs is your age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that adds up
\n" ); document.write( "27 + 48 + 46 + 20 = 141 \n" ); document.write( "
\n" );