document.write( "Question 1061951: sum of ages of son and his father is 35 and the product is 150 find the ages \n" ); document.write( "

Algebra.Com's Answer #676708 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "sum of ages of son and his father is 35.
\n" ); document.write( "Make son's age = x
\n" ); document.write( "Make father's age = y
\n" ); document.write( "x + y = 35........Eq(1)
\n" ); document.write( "the product is 150.
\n" ); document.write( "xy = 150..........Eq(2)
\n" ); document.write( "x = 150/y ........Eq(2)
\n" ); document.write( "Substitute 150/y from Eq(2) for x in Eq(1)
\n" ); document.write( "x + y = 35....Eq(1)
\n" ); document.write( "150/y + y = 35
\n" ); document.write( "Common denominator = y
\n" ); document.write( "150 + y^2 = 35y
\n" ); document.write( "Rearrange into trinomial
\n" ); document.write( "y^2 - 35y + 150 = 0
\n" ); document.write( "Factorize
\n" ); document.write( "(y - 30)(y - 5) = 0
\n" ); document.write( "y - 30 = 0
\n" ); document.write( "y = 30
\n" ); document.write( "(Disregard y - 5 = 0 => y = 5 as Father will be older than son)
\n" ); document.write( "Substitute y = 30 into Eq(1)
\n" ); document.write( "x + y = 35
\n" ); document.write( "x + 30 = 35
\n" ); document.write( "x = 35 - 30
\n" ); document.write( "x = 5
\n" ); document.write( "Boy's age = 5 years
\n" ); document.write( "Father's age = 30 years.
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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