document.write( "Question 1124900: a father is 24 years older than the son if the ratio of their age is 5:2 find the age of the son \n" ); document.write( "
Algebra.Com's Answer #741177 by MathLover1(20850)\"\" \"About 
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let's father's age be \"x\" and son's age \"y\"\r
\n" ); document.write( "\n" ); document.write( "if father is \"24\" years older than the son, we have\r
\n" ); document.write( "\n" ); document.write( " \"x=y%2B24\"...eq.1\r
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\n" ); document.write( "\n" ); document.write( " if the ratio of their age is \"5%3A2\", we have\r
\n" ); document.write( "\n" ); document.write( "\"x%3Ay=5%3A2\"....eq.2.....solve or \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"2x=5y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=5y%2F2\"....eq.2a\r
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2a we have\r
\n" ); document.write( "\n" ); document.write( "\"5y%2F2=y%2B24\"...solve or \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"5y=2y%2B48\"\r
\n" ); document.write( "\n" ); document.write( "\"5y-2y=48\"\r
\n" ); document.write( "\n" ); document.write( "\"3y=48\"\r
\n" ); document.write( "\n" ); document.write( "\"y=48%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=16%29\"\r
\n" ); document.write( "\n" ); document.write( "find \"x\":\r
\n" ); document.write( "\n" ); document.write( "\"x=y%2B24\"...eq.1\r
\n" ); document.write( "\n" ); document.write( "\"x=16%2B24\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=40%29\"\r
\n" ); document.write( "\n" ); document.write( "so, father is \"highlight%2840%29\" years old, and son is \"highlight%2816%29\" years old\r
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\n" ); document.write( "\n" ); document.write( "check the ratio:\r
\n" ); document.write( "\n" ); document.write( "\"x%3Ay=5%3A2\"\r
\n" ); document.write( "\n" ); document.write( "\"40%3A16=5%3A2\"...simplify left side
\n" ); document.write( "\"5%3A2=5%3A2\" -> which confirms our solution\r
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