40.9267 is the square root
Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
The greatest common factor of the two terms is 33a^3.
With the numbers 66 and 99, the greatest common factor is 33. It is the largest number that divides evenly into both.
For the variables, the most that is in common in both is a^3.
