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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?

Ax + y = 60 and -x + y = 4
Bx + y = 60 and x - y = 4
Cx + y = 60 and x + y = 4

Verified Answer :

B is correct.
as their sum =60
so x+y=60
again x is 4 more than y
or x=y+4
or x-y=4

Answer:

Option: B is the correct option.

      B)      x + y = 60    and      x - y = 4

Step-by-step explanation:

Let one  number is " x " ; which is also the larger number.

and the other number be " y " ; which is the smaller number.

Also, we are given that:

  •        One number is 4 more than another.

This means that  the difference of a smaller number from a larger number gives the value  "4"

               Hence, we get that:

                             x-y=4

and also we are given that:

  • The sum of two numbers is 60.

                    This means that:

                            x+y=60

     Hence, option: B is the correct option.

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