The quotient of two positive integers is 21. The difference between the larger integer and this quotient is 21. What is the sum of the two integers?
Hello Guest!
Let x and y be the two integers.
x/y = 21 ---- 1
Let x>y
x-quotient = 21
Quotient =21,
so x-21=21 --- Add 21 to both sides
x=42
By Equation 1 --> 42/y=21 --- Multiply by y on both sides
42=21y, divide by 21 on both sides.
y=2
So, the sum is x+y = 42+2 = 44
Hope this helps Guest!
