Fisherman's Fish

Algebra Level 2

A fisherman was asked how long was the fish he caught. He said "It is 30cm plus the half its length".
How long was the fish?


The answer is 60.

Samara Simha Reddy by Samara Simha Reddy , 22, India

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2 solutions

Let x be the length of the fish. Therefore, x = 30 + x 2 x = 30 + \frac{x}{2} ;

⟹ x − x 2 = 30 \implies x - \frac{x}{2} = 30 ;

⟹ x 2 = 30 \implies \frac{x}{2} = 30 ; ⟹ x = 60 \implies x = 60 . Therefore the length of the fish is 60 c m \boxed{60cm} . So simple isn't it.

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Let L L be the length of the fish. Then we have

L = 30 + 1 2 L L= 30 + \dfrac{1}{2}L

1 2 L = 30 \dfrac{1}{2}L=30

L = 60 cm L=60~\text{cm}

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