document.write( "Question 766389: a man is x years old which his son is y years old. the sum of their ages is twice the difference of their ages. if the product of their ages is 675, find the age of the man \n" ); document.write( "
Algebra.Com's Answer #466940 by subudear(62)\"\" \"About 
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Let age of man be x years and age of son is y years\r
\n" ); document.write( "\n" ); document.write( "x + y = 2 (x - y)
\n" ); document.write( "x + y = 2x - 2y
\n" ); document.write( "3y - x = 0 .....(1)\r
\n" ); document.write( "\n" ); document.write( "x*y = 675 ...(2)\r
\n" ); document.write( "\n" ); document.write( "replace value of y from equation (2) into (1)\r
\n" ); document.write( "\n" ); document.write( "3*(675/x) - x = 0
\n" ); document.write( "2025 - x^2 = 0\r
\n" ); document.write( "\n" ); document.write( "x^2 = 2025
\n" ); document.write( "x = sqrt(2025) = 45\r
\n" ); document.write( "\n" ); document.write( "age of man is 45 years
\n" ); document.write( "age of son is 15 years
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