document.write( "Question 213614This question is from textbook Intoductery Algebra
\n" ); document.write( ": Please help me solve:\r
\n" ); document.write( "\n" ); document.write( "The distance between two numbers is 18. Twice the smaller plus three times the larger is 74. What are the numbers?\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #161400 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
The distance between two numbers is 18. Twice the smaller plus three times the larger is 74. What are the numbers?
\n" ); document.write( "---
\n" ); document.write( "Let the larger be \"x\":
\n" ); document.write( "Let the smaller be \"y\":
\n" ); document.write( "-----------------------
\n" ); document.write( "Equations:
\n" ); document.write( "x-y = 18
\n" ); document.write( "2y+3x = 74
\n" ); document.write( "-----------------
\n" ); document.write( "Rearrange the 1st equation:
\n" ); document.write( "x = y+18
\n" ); document.write( "Substitute into the 2nd equation to solve for \"y\";
\n" ); document.write( "2y + 3(y+18) = 74
\n" ); document.write( "2y + 3y + 54 = 74
\n" ); document.write( "5y = 20
\n" ); document.write( "y = 4 (the smaller number)
\n" ); document.write( "---
\n" ); document.write( "Since x = y+18, x = 4+18 = 22 (the larger number)
\n" ); document.write( "----------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );