You have three sticks, one red, one green, and one blue. 1. The red one is three times as long as the blue 2. The green one is 7 inches longer than the blue. 3. The blue and green together are the same length as the red How long are each of your sticks?

Answer: red is 21, green is 14 and blue is 7

Step-by-step explanation:

Let r represent the length of the red stick.

Let g represent the length of the green stick.

Let b represent the length of the blue stick.

The red one is three times as long as the blue. This means that

r = 3b

The green one is 7 inches longer than the blue. This means that

g = b + 7

The blue and green together are the same length as the red. This means that

b + g = r

g = r - b

Therefore

b + 7 = r - b

r = b + b + 7 = 2b + 7

Substituting r = 3b into r = 2b + 7, it becomes

3b = 2b + 7

3b - 2b = 7

b = 7

r = 3b = 3 * 7 = 21

g = b + 7 = 7 + 7 = 14