document.write( "Question 1042192: Andrew has two children, David and Helen. The sum of their three ages is 49. David’s age is three times that of Helen. In 5 years time, Andrew’s age will be three times David’s age. What is the product of their ages now? \n" ); document.write( "
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\n" ); document.write( "Andrew has two children, David and Helen. The sum of their three ages is 49. David’s age is three times that of Helen. In 5 years time, Andrew’s age will be three times David’s age. What is the product of their ages now?
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Let Helen's age be H, and Andrew's, A
\n" ); document.write( "Then David's is: 3H
\n" ); document.write( "We also get: A + 5 = 3(3H + 5)
\n" ); document.write( "A + 5 = 9H + 15
\n" ); document.write( "A = 9H + 10
\n" ); document.write( "Since their ages sum to 49, then we get: H + 3H + 9H + 10 = 49
\n" ); document.write( "13H = 49 - 10
\n" ); document.write( "13H = 39
\n" ); document.write( "H, or Helen's age = \"39%2F13\", or 3
\n" ); document.write( "David's age: 3(3), or 9
\n" ); document.write( "Andrew's age: 49 - (3 + 9), or 49 - 12, or 37\r
\n" ); document.write( "\n" ); document.write( "Product of their ages: 3(9)(37). Do you think you can find this? \n" ); document.write( "
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