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?
Solution:
Let x and y be the two integers:
x/y=24 -----> 1st equation
x+y=75 -----> 2nd equation
y=75-x ------> from the 2nd equation
Substitute 2nd equation to 1st equation
x/(75-x)=24
x=24(75-x)
x=1800-24x
25x=1800
x=1800/25
x=72
The correct answer is:
E. 72
