document.write( "Question 512294: how old is my youngest son if the sum of triple his age and five times his older brother's age is 96 \n" ); document.write( "
Algebra.Com's Answer #342654 by ankor@dixie-net.com(22740)\"\" \"About 
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how old is my youngest son if the sum of triple his age and five times his older brother's age is 96
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\n" ); document.write( "Let y = youngest son's age
\n" ); document.write( "Let x = older son's age
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\n" ); document.write( "5x + 3y = 96
\n" ); document.write( "3y = -5x + 96
\n" ); document.write( "divide by 3
\n" ); document.write( "y = \"-5%2F3\"x + \"96%2F3\"
\n" ); document.write( "y = \"-5%2F3\"x + 32
\n" ); document.write( "we know that x has to be a multiple of 3, a couple \"try and see\"'s, we come up with x=15
\n" ); document.write( "y = \"-5%2F3\"(15) + 32
\n" ); document.write( "y = -25 + 32
\n" ); document.write( "y = 7 yrs is the youngest son's age
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\n" ); document.write( "Check: 3(7) + 5(15) = 96\r
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