document.write( "Question 1003526: When I was at your age now, you were only 5 years old. When you become as old as I am now, I will be 71 years old.\" How old are A and B now, respectively? \n" ); document.write( "

Algebra.Com's Answer #620215 by ikleyn(52797) $\"\"$ $\"About$

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document.write( "\"When I was at your age now, you were only 5 years old. When you become as old as I am now, I will be 71 years old.\" \r\n" );
document.write( "How old are A and B now, respectively?\r\n" );
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document.write( "Let me re-formulate to get the solution more easily.\r\n" );
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document.write( "When A was at the age of B now, B was only 5 years old. When B become as old as A is now, A will be 71 years old. \r\n" );
document.write( "How old are A and B now, respectively?\r\n" );
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document.write( "Let x be the preset age of A and y be the present age of B.\r\n" );
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document.write( "When A was at the age of B now? - It was x-y years ago. \r\n" );
document.write( "What was the age of B at that time, x-y years ago? The age of B was y - (x-y) = 2y-x. \r\n" );
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document.write( "It gives you the first equation\r\n" );
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document.write( "2y - x = 5.\r\n" );
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document.write( "When B become as old as A is now? - It will happen after x-y years.\r\n" );
document.write( "What will be the age of A at that time? - The age of A at that time will be x + (x-y) = 2x - y. \r\n" );
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document.write( "It gives you the second equation\r\n" );
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document.write( "2x - y = 71.\r\n" );
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document.write( "Now solve this system\r\n" );
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document.write( "2y - x = 5,\r\n" );
document.write( "2x - y = 71.\r\n" );
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document.write( "Do it yourself please. It is easy.\r\n" );
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document.write( "Answer. A is 49 years now. The present age of B is 27 years.\r\n" );
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