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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |