document.write( "Question 1141016: Gary and Larry's age combined adds up to 97. Larry is 5 years older than 3 times Gary's age. How old are they? \n" ); document.write( "

Algebra.Com's Answer #761557 by ikleyn(52809) $\"\"$ $\"About$

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document.write( "From the condition, you have these two equations\r\n" );
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document.write( "G + L = 97     (1)\r\n" );
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document.write( "L = 3G + 5     (2)\r\n" );
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document.write( "Substitute expression (2) into equation (1) to get\r\n" );
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document.write( "    G + (3G + 5) = 97.\r\n" );
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document.write( "Simplify and solve for G\r\n" );
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document.write( "    4G + 5 = 97\r\n" );
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document.write( "    4G = 97 - 5\r\n" );
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document.write( "    4G = 92\r\n" );
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document.write( "     G = 92/4 = 23.\r\n" );
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document.write( "ANSWER.  Gary is 23 years old.  Larry is  3*23+5 = 74 years old.\r\n" );
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document.write( "CHECK.  23 + 74 = 97.    ! Correct !\r\n" );
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