Question

A fish is 15 inches long. The head (H) is as long as the tail (T) If the head was twice as long, the combined head and tail would be as long as the body (B). How long is each portion of the fish i.e. H, B and T?​

Answer 1

The length of the head is 5 inches, the length of the tail is 5 inches, and the length of the body is 15 inches.

Step-by-step explanation:

Let's assume the length of the tail is T.

Since the head is as long as the tail, the length of the head is also T.

If the head was twice as long, its length would be 2T.

According to the given information, if the head and tail were combined, they would be as long as the body, so the body's length would be 2T + T = 3T.

Given that the fish is 15 inches long, we can set up the equation 3T = 15 and solve for T:

T = 15/3 = 5 inches.

Therefore, the length of the head is 5 inches, the length of the tail is 5 inches, and the length of the body is 2T + T = 3T = 3(5) = 15 inches.

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