document.write( "Question 1114817: the sum of the ages of a father and his son is 41years If the product of their ages is 210 find their ages \n" ); document.write( "

Algebra.Com's Answer #729735 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Try pairs of factors of 210.
\n" ); document.write( "Find a pair with a sum of 41.
\n" ); document.write( "-------------
\n" ); document.write( "1*210 NG
\n" ); document.write( "2*105 NG\r
\n" ); document.write( "\n" ); document.write( "etc
\n" ); document.write( "============
\n" ); document.write( "The other tutor's solution:
\n" ); document.write( "et x be the father's age and y be the son's age, then
\n" ); document.write( ":
\n" ); document.write( "1) x + y = 41
\n" ); document.write( ":
\n" ); document.write( "2) xy = 210
\n" ); document.write( ":
\n" ); document.write( "solve equation 1 for x and substitute for x in equation 2
\n" ); document.write( ":
\n" ); document.write( "x = 41 - y
\n" ); document.write( ":
\n" ); document.write( "(41-y)y = 210
\n" ); document.write( ":
\n" ); document.write( "41y -y^2 = 210
\n" ); document.write( ":
\n" ); document.write( "y^2 -41y +210 = 0
\n" ); document.write( ":
\n" ); document.write( "(y-35) * (y-6) = 0 ****** At this point, he found a pair of factors of 210 with a sum of 41. \n" ); document.write( "

\n" );