Question

PLEASE HELP QUICK

An integer x is divided by an integer y, and the quotient is 24. The sum of these two integers is 75. Which is the value of x?

A. 3
B. 8
C. 25
D. 48
E. 72

Answer 1

E.

You are given two equations:

X/y = 24
X + y = 75.

You want to isolate the variable in one equation so you can plug it into the other one.

X/y = 24 can be simplified as x = 24y. (Multiply both sides by y to remove it from the denominator.) Plug the new equation into the other equation.

24y + y = 75.
25y = 75.
Y = 3

Now that you know y is equal to 3, you can plus it into one of the equations to solve for x.

X + 3 = 75
X = 72, therefore the answer is E.