document.write( "Question 151016: The average of 2 numbers is 15 and four times the difference between them is 4o. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #110941 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let \"x\"= 1st #, & \"y\"= 2nd #
\n" ); document.write( "1st condition: Average of 2 numbers is 15,
\n" ); document.write( " $\"%28x%2By%29%2F2=15\"$
\n" ); document.write( "2nd condition: 4 times the diff. is 40,
\n" ); document.write( " $\"4%28x-y%29=40\"$
\n" ); document.write( ".
\n" ); document.write( "In 1st condtn. we get $\"x%2By=30\"$ --> REMEMBER THIS EQ'N,
\n" ); document.write( " $\"x=30-y\"$ and substitute this \"x\" value in 2nd condtn.
\n" ); document.write( " $\"4%2830-y-y%29=40\"$
\n" ); document.write( " $\"120-4y-4y=40\"$
\n" ); document.write( " $\"120-40=4y%2B4y\"$ ----> $\"80=8y\"$
\n" ); document.write( " $\"y=10\"$ , and REMEMBER EQ'N $\"x%2B10=30\"$ ---> $\"x=30-10\"$ --> $\"x=20\"$
\n" ); document.write( "To check,
\n" ); document.write( "Go back 1st condtn.; $\"%2820%2B10%29%2F2=15\"$ ----> $\"15=15\"$
\n" ); document.write( "For 2nd condtn.; $\"4%2820-10%29=40\"$ ------> $\"40=40\"$
\n" ); document.write( "Thank you
\n" ); document.write( "Jojo
\n" ); document.write( " \n" ); document.write( "

\n" );