document.write( "Question 12859: What are 3 consecutive numbers with the sum of 600? \n" ); document.write( "
Algebra.Com's Answer #6504 by chicosgurrl(2)![]() ![]() ![]() You can put this solution on YOUR website! First lets choose a variable for the three unknown numbers. They are consecutive which means that they are in ascending(going up)order (for example..1,2,3,4)\r \n" ); document.write( "\n" ); document.write( "So Lets choose X for the first number. \n" ); document.write( ". \n" ); document.write( "since the next number is consecutive to X, it will be one number more than X which is written as X+1 \n" ); document.write( ". \n" ); document.write( "So, Let the second number = X+1 (that is just the first unknown number plus 1) \n" ); document.write( ". \n" ); document.write( "now the next nuber is still consecutive so it's just X+1+1 OR simplify to X+2 \n" ); document.write( ". \n" ); document.write( "NOW, to recap, our unknown numbers are: \n" ); document.write( ". \n" ); document.write( " X \n" ); document.write( "(X+1) \n" ); document.write( "(X+2) \n" ); document.write( ". \n" ); document.write( "and we know that the sum of these three numbers is equal to 600. \n" ); document.write( ". \n" ); document.write( "so write as: X+(X+1)+(X+2)=600\r \n" ); document.write( "\n" ); document.write( "Simplify: 3X+3=600 \n" ); document.write( ". \n" ); document.write( "Get the x on one side by subtracting 3 from both sides: \n" ); document.write( " 3x+3=600 \n" ); document.write( ".. -3=-3 \n" ); document.write( ". \n" ); document.write( ".After that it becomes: 3x=597 \n" ); document.write( ". \n" ); document.write( "Now, get the X by itself by dividing both sides by 3: \n" ); document.write( " 3x=597 \n" ); document.write( " .. X=199\r \n" ); document.write( "\n" ); document.write( " now you know x, so plug it in X=199 \n" ); document.write( " X+1 is the same as 199+1 which is =200 \n" ); document.write( " X+2 is the same as 199+2 which is 201\r \n" ); document.write( "\n" ); document.write( "so the answers are: 199, 200, 201 \n" ); document.write( "they are consecutive and the sum of the three is =600\r \n" ); document.write( "\n" ); document.write( "I hope this helps. =) \n" ); document.write( " \n" ); document.write( " |