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

a. and

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:

We can manipulate this equation as:

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

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

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)