A pole is painted 1/3 part red 1/5 part green rest 14 m yellow find total length of pole

(1/3)x + (1/5)x + 14 = x

(5/15)x + (3/15)x + 14 = x

(8/15)x + 14 = x

14 = (7/15)x

14/ (7/15) = x

14 * (15/7) = x

30 meters = x

To find the total length of the pole, we need to add up the lengths painted with each color.

Let's start by finding the length painted with red. We are given that 1/3 of the pole is painted red. If we let "x" represent the total length of the pole, then the length painted with red is (1/3) * x.

Next, let's find the length painted with green. We are given that 1/5 of the pole is painted green. So the length painted with green is (1/5) * x.

Finally, we are told that the rest of the pole, which is yellow, is 14 meters.

To find the total length of the pole, we add up the lengths painted with each color and the length painted with yellow:

Total Length = Length painted with red + Length painted with green + Length painted with yellow

So, the total length of the pole can be calculated as:

Total Length = (1/3) * x + (1/5) * x + 14

To solve for x, we will combine like terms:

Total Length = (5/15)*x + (3/15)*x + 14
Total Length = (8/15)*x + 14

Since the length of the pole cannot be negative, the total length should be greater than 0.