document.write( "Question 437014: one number is 7 times another number. the product of the two numbers is 252. find the two numbers \n" ); document.write( "

Algebra.Com's Answer #302301 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
x = one number
\n" ); document.write( "y = another numbers
\n" ); document.write( "We're told x = 7 times the other number
\n" ); document.write( " $\"x+=+7y\"$
\n" ); document.write( "We're told the product = 252
\n" ); document.write( " $\"xy+=+252\"$
\n" ); document.write( "Substituting what we know about x and y
\n" ); document.write( " $\"%287y%29%2Ay+=+252\"$
\n" ); document.write( "Multiply through
\n" ); document.write( " $\"7y%5E2+=+252\"$
\n" ); document.write( "Divide both sides by 7
\n" ); document.write( " $\"y%5E2+=+36\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"y+=+sqrt%2836%29\"$
\n" ); document.write( " $\"y+=+6\"$
\n" ); document.write( "Substitute this value of y to determine the value of x
\n" ); document.write( " $\"x+=+7%2A6\"$
\n" ); document.write( " $\"x+=+42\"$
\n" ); document.write( "Always check your work.
\n" ); document.write( " $\"6%2A42+=+252\"$
\n" ); document.write( "True
\n" ); document.write( " $\"42+=+7%2A6\"$
\n" ); document.write( "True
\n" ); document.write( "Remember to state your answer:
\n" ); document.write( "The two numbers are 6 and 42.
\n" ); document.write( "Done \n" ); document.write( "

\n" );