document.write( "Question 919024: 3 years ago A's age was double of B.
\n" ); document.write( "7years later the sum of their united ages will be 83 years.
\n" ); document.write( "Today the age of A is....????
\n" ); document.write( "

Algebra.Com's Answer #557428 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"3\" years ago \"A\"'s age was \"double\" of \"B\".\r
\n" ); document.write( "\n" ); document.write( "\"A-3=2%28B-3%29\".........eq.1\r
\n" ); document.write( "\n" ); document.write( "\"7\" years later the sum of their united ages will be \"83\" years.\r
\n" ); document.write( "\n" ); document.write( "\"%28A%2B7%29%2B%28B%2B3%29=83\".........eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "\"A-3=2%28B-3%29\".........eq.1
\n" ); document.write( "\"%28A%2B7%29%2B%28B%2B7%29=83\".........eq.2
\n" ); document.write( "___________________________\r
\n" ); document.write( "\n" ); document.write( "\"A-3=2%28B-3%29\".........eq.1 solve for \"A\"\r
\n" ); document.write( "\n" ); document.write( "\"A=2%28B-3%29%2B3\".......substitute in eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%28B-3%29%2B3%2B7%29%2B%28B%2B7%29=83\".........eq.2..solve for \"B\"\r
\n" ); document.write( "\n" ); document.write( "\"2B-6%2B3%2B7%2BB%2B7=83\"\r
\n" ); document.write( "\n" ); document.write( "\"3B%2B11=83\"\r
\n" ); document.write( "\n" ); document.write( "\"3B=83-11\"\r
\n" ); document.write( "\n" ); document.write( "\"3B=72\"\r
\n" ); document.write( "\n" ); document.write( "\"B=72%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"B=24\"\r
\n" ); document.write( "\n" ); document.write( "find \"A=2%28B-3%29%2B3\"\r
\n" ); document.write( "\n" ); document.write( "\"A=2%2824-3%29%2B3\"\r
\n" ); document.write( "\n" ); document.write( "\"A=2%2821%29%2B3\"\r
\n" ); document.write( "\n" ); document.write( "\"A=42%2B3\"\r
\n" ); document.write( "\n" ); document.write( "\"A=45\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"3\" years ago \"A\"'s age was \"45-3=42\"\r
\n" ); document.write( "\n" ); document.write( "\"3\" years ago \"B\"'s age was \"24-3=21\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \"42\" is \"double\" of \"21\"-true\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"7\" years later the sum of their united ages will be \"83\" years.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=45\" \"7\" years later will be \"A=45%2B7=52\"\r
\n" ); document.write( "\n" ); document.write( "\"B=24\" \"7\" years later will be \"B=24%2B7=31\"\r
\n" ); document.write( "\n" ); document.write( "and \"A%2BB=52%2B31=83\"-true
\n" ); document.write( "
\n" );