document.write( "Question 1147146: The sum of the ages of Maria and Anna is 35. When Maria was two thirds her present age and Anna was 3/4 of her present age, the sum of their ages was 25. How old is Maria now? \n" ); document.write( "

Algebra.Com's Answer #768451 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "M     +   A  = 35,       (1)\r\n" );
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document.write( " +  = 25       (2)\r\n" );
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document.write( "Multiply equation (2) by 12 (both sides).  Keep equation (2) as is.\r\n" );
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document.write( " M +  A = 35             (1')\r\n" );
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document.write( "8M + 9A = 300            (2')\r\n" );
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document.write( "From (1), express  A = 35 - M and substitute into (2'). You will get\r\n" );
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document.write( "8M + 9*(35-M) = 300,\r\n" );
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document.write( "M =  = 15.\r\n" );
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document.write( "ANSWER.  Maria is 15 years old.\r\n" );
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