document.write( "Question 120139: Twice the larger of the two numbers is three more than five times the smaller, and then the sum of four times the larger and three times the smaller is 71. What are the nos.? \n" ); document.write( "
Algebra.Com's Answer #88046 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = the larger number
\n" ); document.write( "Let y = the smaller number
\n" ); document.write( ":
\n" ); document.write( "Write an equation for what it says:
\n" ); document.write( ":
\n" ); document.write( "\"Twice the larger of the two numbers is three more than five times the smaller,\"
\n" ); document.write( "2x = 3 + 5y
\n" ); document.write( "Or
\n" ); document.write( "2x - 5y = 3
\n" ); document.write( ":
\n" ); document.write( "\"and then the sum of four times the larger and three times the smaller is 71.\"
\n" ); document.write( "4x + 3y = 71
\n" ); document.write( ":
\n" ); document.write( "What are the nos.?
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\n" ); document.write( "Multiply 2x+3y=3, by 2, and subtract 4x+3y=71 from it
\n" ); document.write( "4x - 10y = 6
\n" ); document.write( "4x + 3y = 71
\n" ); document.write( "--------------- subtracting eliminate x; find y
\n" ); document.write( "0x - 13y = -65
\n" ); document.write( "y = \"%28-65%29%2F%28-13%29\"
\n" ); document.write( "y = +5
\n" ); document.write( ":
\n" ); document.write( "Find x using the 1st equation
\n" ); document.write( "2x = 3 + 5(5)
\n" ); document.write( "2x = 3 + 25
\n" ); document.write( "2x = 28
\n" ); document.write( "x = 14
\n" ); document.write( "The two numbers are 14 and 5
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "the sum of four times the larger and three times the smaller is 71.
\n" ); document.write( "4(14) + 3(5) = 71 \n" ); document.write( "
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