Question

The sum of two numbers is 60. one number is 4 times as large as the other. what are the numbers

Answer 1

You know that one number, n, is four times as much as the other number, and you know that both of these numbers added together give you 60. So you can put together the equation 4n+n=60. Four times a number plus another number equals 60. You add n  to 4n  to get 5n ,  then you seperate 5 from n and move 5 to the other side of the eqation. n = 60/5 Don't forget, if you go back a step, you will see that n is being multiplied by 5, so if you bring it over to the other side of the equation, then you have to divide it. Then you divide 60 by 5, giving you 12. Now you go back to the original equation (4n+n=60) and input 12 everywhere you see n. 4(12) + (12) = 60. Multiply 4 and 12 to get 48 as your fist number, and 12 as your second number. Hope this helped!