document.write( "Question 175811: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #130916 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "Remember-----> $\"system%28x=SmallerNumber%2Cy=GreaterNumber%29\"$ }
\n" ); document.write( "1st Condition:
\n" ); document.write( " $\"x%2By=133\"$
\n" ); document.write( "2nd condition:
\n" ); document.write( " $\"4x=3y\"$ -----> we get: $\"cross%284%29x%2Fcross%284%29=%283y%29%2F4\"$
\n" ); document.write( " $\"x=%283%2F4%29y\"$ , condition 3 & subst in condition 1:
\n" ); document.write( ".
\n" ); document.write( " $\"%283%2F4%29y%2By=133\"$
\n" ); document.write( " $\"%283y%2B4y%29%2F4=133\"$ , cross multiply
\n" ); document.write( " $\"7y=133%2A4=532\"$
\n" ); document.write( " $\"cross%287%29y%2Fcross%287%29=cross%28532%2976%2Fcross%287%29\"$
\n" ); document.write( " $\"highlight%28y=76%29\"$ , Greater Number
\n" ); document.write( "Go back condition 3:
\n" ); document.write( " $\"x=%283%2F4%29%2876%29=228%2F4\"$
\n" ); document.write( " $\"highlight%28x=57%29\"$ , Smaller Number
\n" ); document.write( "In doubt? Check via condition 2:
\n" ); document.write( " $\"4%2A57=3%2A76\"$
\n" ); document.write( " $\"228=228\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( " \n" ); document.write( "

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