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.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.