document.write( "Question 186021: If 3 times Jane’s age, in years, is equal to 8 times Beth’s age, in years, and
\n" ); document.write( "the difference between their ages is 15 years, how old are Jane and Beth? \n" ); document.write( "

Algebra.Com's Answer #139501 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "*Remember:
\n" ); document.write( " $\"Jane=x\"$ & $\"Beth=y\"$
\n" ); document.write( "1st condition:
\n" ); document.write( " $\"3x=8y\"$
\n" ); document.write( "2nd condition:
\n" ); document.write( " $\"x-y=15\"$ ----> $\"x=15%2By\"$ , EQN 1 & subst. in Condtn 1:
\n" ); document.write( ".
\n" ); document.write( " $\"3%2815%2By%29=8y\"$
\n" ); document.write( " $\"45%2B3y=8y\"$
\n" ); document.write( " $\"8y-3y=45\"$ ----> $\"5y=45\"$ ---> $\"cross%285%29y%2Fcross%285%29=cross%2845%299%2Fcross%285%29\"$
\n" ); document.write( " $\"highlight%28y=9yrs%29\"$ , Beth's Age
\n" ); document.write( "Via EQN 1:
\n" ); document.write( " $\"x=15%2B9=highlight%2824yrs%29\"$ , Jane's Age
\n" ); document.write( "Check via Condtn 2:
\n" ); document.write( " $\"3%2A24=8%2A9\"$
\n" ); document.write( " $\"72=72\"$
\n" ); document.write( "See graph for reference:
\n" ); document.write( "
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( " \n" ); document.write( "

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