document.write( "Question 551945: The sum of the present ages of Joey and his mother is 46 years. In 4 years, Joey will be 3 years older than one-half as old as his mother at that time. Find the present ages of Joey and his mother. \n" ); document.write( "
Algebra.Com's Answer #360116 by ankor@dixie-net.com(22740)\"\" \"About 
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he sum of the present ages of Joey and his mother is 46 years.
\n" ); document.write( " In 4 years, Joey will be 3 years older than one-half as old as his mother at that time.
\n" ); document.write( " Find the present ages of Joey and his mother.
\n" ); document.write( ":
\n" ); document.write( "Let m = mom's present age
\n" ); document.write( "Let j = Joey's
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"The sum of the present ages of Joey and his mother is 46 years.\"
\n" ); document.write( "m + j = 46
\n" ); document.write( "j = (46-m); we can use this form for substitution
\n" ); document.write( ":
\n" ); document.write( "\" In 4 years, Joey will be 3 years older than one-half as old as his mother at that time.\"
\n" ); document.write( "j + 4 = .5(m + 4) + 3
\n" ); document.write( "j + 4 = .5m + 2 + 3
\n" ); document.write( "j = .5m + 5 - 4
\n" ); document.write( "j = .5m + 1
\n" ); document.write( "Replace j with (46-m)
\n" ); document.write( "46-m = .5m + 1
\n" ); document.write( "46 - 1 = .5m + m
\n" ); document.write( "45 = 1.5m
\n" ); document.write( "m = \"45%2F1.5\"
\n" ); document.write( "m = 30 yrs is mom's age
\n" ); document.write( "then
\n" ); document.write( "j = 46 - 30
\n" ); document.write( "j = 16 yrs is Joey's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"In 4 years, Joey will be 3 years older than one-half as old as his mother at that time. \"
\n" ); document.write( "16 + 4 = .5(30+4) + 3
\n" ); document.write( "20 = .5(34) + 3
\n" ); document.write( "20 = 17 + 3 \n" ); document.write( "
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