Question

One number is 4 more than another, and their sum is 60. What is the smaller number? If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
a. x+y=60 and -x+y=4
b. x+y=60 and x-y=4
c. x+y=60 and x+y=4

Answer 1

Answer:

a. $x+y=60$ and $-x+y=4$

Step-by-step explanation:

Let x be the larger number and y be the smaller number.

We have been given that one number is 4 more than another. We can represent this information in an equation as:

$y=x+4...(1)$

We can manipulate this equation as:

$y-x=x-x+4$

$-x+y=4$

We are also told that the sum of both numbers is 60. We can represent this information in an equation as:

$x+y=60...(2)$

Upon looking at our given choices, we can see that option 'a' is the correct choice.

Answer 2

Answer:a. x+y=60 and -x+y=4

Step-by-step explanation: