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.

2

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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