document.write( "Question 305853: Joel is one third the age of Bob. In 7 years the combined ages os boys will be 58. How old is each now? \n" ); document.write( "

Algebra.Com's Answer #218994 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let j = Joel's present age
\n" ); document.write( "Let b = Bob's present age
\n" ); document.write( ":
\n" ); document.write( "Joel is one third the age of Bob.
\n" ); document.write( "j = $\"1%2F3\"$ b
\n" ); document.write( "or
\n" ); document.write( "b = 3j
\n" ); document.write( ":
\n" ); document.write( "In 7 years the combined ages of the boys will be 58.
\n" ); document.write( "(j+7)+(b+7) = 58
\n" ); document.write( "j + b + 14 = 58
\n" ); document.write( "j + b = 58 - 14
\n" ); document.write( "j + b = 44
\n" ); document.write( ":
\n" ); document.write( "Replace b with 3j
\n" ); document.write( "j + 3j = 44
\n" ); document.write( "4j = 44
\n" ); document.write( "j = $\"44%2F4\"$
\n" ); document.write( "j = 11 is Joel's present age
\n" ); document.write( ":
\n" ); document.write( "3(11) = 33 is Bob's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"In 7 years the combined ages of the boys will be 58.\"
\n" ); document.write( "(11 + 7) + (33 + 7) =
\n" ); document.write( "18 + 40 = 58\r
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