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InterviewSolution
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Out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans. |
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Answer» Let the number of swans in the pond be ‘a’. Given, out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. \(\Rightarrow \frac{7}{2}\sqrt{a}+2=a\) ⇒ 7√a = 2a – 4 Squaring both sides ⇒ 49a = 4a2 + 16 – 16a ⇒ 4a2 – 65a + 16 = 0 ⇒ 4a2 – 64a – a + 16 = 0 ⇒ 4a(a – 16) – (a – 16) = 0 ⇒ (4a – 1)(a – 16) = 0 ⇒ a can’t be 1/4, thus a = 16 |
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