gcf of 3 numbers are 9, sum is 90, what are the numbers?

a + b + c = 90,

9 + b + c = 90,
b + c = 90 - 9,
b + c = 81,
81 = 1 * 81 = 3 * 27,
9 + 27 + c = 90,
36 + c = 90,
c = 90 - 36,
c = 54.

9 + 27 + 54 = 90.

18,27,45

To find the three numbers, we can use a system of equations. Let's call the three numbers a, b, and c.

Given that the greatest common factor (GCF) of the three numbers is 9, it means that a, b, and c are all multiples of 9. We can express this as:

a = 9x
b = 9y
c = 9z

where x, y, and z are positive integers.

Next, we are given that the sum of the three numbers is 90. We can write this as an equation:

9x + 9y + 9z = 90

Dividing both sides of the equation by 9, we get:

x + y + z = 10

Now, we need to find the different combinations of x, y, and z that satisfy this equation.

One possible solution is when x = 1, y = 4, and z = 5:

a = 9(1) = 9
b = 9(4) = 36
c = 9(5) = 45

Therefore, the three numbers are 9, 36, and 45.