document.write( "Question 996489: one number is 11 more than another number. find the two numbers if three times the larger number exceed four times the smaller number by 4?\r
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Algebra.Com's Answer #614914 by addingup(3677)\"\" \"About 
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Let's call one number x and another number y.
\n" ); document.write( "one number is 11 more than another number:
\n" ); document.write( "x = y+11 <---Value of x
\n" ); document.write( "three times the larger number exceed four times the smaller number by 4?
\n" ); document.write( "3x+4 = 4y Now, in this equation, let's replace x with the value of x:
\n" ); document.write( "3(y+11)+4= 4y Multiply on left
\n" ); document.write( "3y+33+4= 4y Add numbers on left and subtract 3y on both sides
\n" ); document.write( "37= 1y and we can write this simply as
\n" ); document.write( "y= 37
\n" ); document.write( "Proof
\n" ); document.write( "One number is 11 more than another number, and since 37 is \"another number\", 37+11= \"one number\", 37+11= 48 Next, the problem says, three times the larger number exceed four times the smaller number by 4:
\n" ); document.write( "4*37-3*48= 4 Multiply
\n" ); document.write( "148-144= 4 We've got the right answer
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