document.write( "Question 1020094: If Peter’s age + Paul’s age = 39
\n" ); document.write( "and Peter’s age + Mary’s age = 44\r
\n" ); document.write( "\n" ); document.write( "and Paul’s age + Mary’s age = 47\r
\n" ); document.write( "\n" ); document.write( "how old are Peter, Paul and Mary? \n" ); document.write( "

Algebra.Com's Answer #636036 by ikleyn(52810) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If Peter’s age + Paul’s age = 39
\n" ); document.write( "and Peter’s age + Mary’s age = 44\r
\n" ); document.write( "\n" ); document.write( "and Paul’s age + Mary’s age = 47\r
\n" ); document.write( "\n" ); document.write( "how old are Peter, Paul and Mary?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Peter + Paul = 39,     (1)\r\n" );
document.write( "Peter + Mary = 44,     (2)\r\n" );
document.write( "Paul  + Mary = 47.     (3)\r\n" );
document.write( "\r\n" );
document.write( "Add all three equations (1), (2) and (3) (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( "2(Peter + Paul + Mary) = 130,   or\r\n" );
document.write( "\r\n" );
document.write( "Peter + Paul + Mary = 65.    (4)\r\n" );
document.write( "\r\n" );
document.write( "Now distract equation (1) from (4). You will get\r\n" );
document.write( "\r\n" );
document.write( "Mary's age = 65 - 39 = 26.\r\n" );
document.write( "\r\n" );
document.write( "Next, distract equation (2) from (4). You will get\r\n" );
document.write( "\r\n" );
document.write( "Paul's age = 65 - 44 = 21.\r\n" );
document.write( "\r\n" );
document.write( "Similarly, Peter's age is (distract (3) from (4)) 65 - 47 = 18.\r\n" );
document.write( "\r\n" );
document.write( "Check. (1): 18 + 21 = 39 (OK).\r\n" );
document.write( "       (2): 18 + 26 = 44 (OK).\r\n" );
document.write( "       (3): 21 + 26 = 47 (OK).\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "This method is standard for solving problems similar to this.
\n" ); document.write( "See the lesson The tricks to solve some word problems with three and more unknowns using mental math in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );