document.write( "Question 1146071: the sum of ages of leo and mandy is 92. the sum of ages of mandy and nancy is 57. the sum of ages of leo and nancy is 73. find the age of leo. \n" ); document.write( "

Algebra.Com's Answer #767344 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Leo  + Mandy  = 92     (1)\r\n" );
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document.write( "Leo  + Nancy  = 73     (2)\r\n" );
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document.write( "Mandy + Mancy = 57     (3)\r\n" );
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document.write( "Add equations (1), (2) and (3).  You will get\r\n" );
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document.write( "2*(Leo + Mandy + Nancy) = 92 + 73 + 57 = 222.\r\n" );
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document.write( "Hence,  \r\n" );
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document.write( "    Leo + Mandy + Nancy = 111     (4).\r\n" );
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document.write( "Now subtract equation (3) from equation (4).  You will get\r\n" );
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document.write( "    Leo = 111 - 57 = 54.\r\n" );
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document.write( "ANSWER.  Leo is 54 years old.\r\n" );
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