Three positive numbers are in the proportion 3 : 4 : 6. If the sum of their squares is 244, then what is the largest number?
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 12
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Understanding |
Application |
Calculation |
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Ratio = 3 : 4 : 6. Suppose the numbers are 3x, 4x & 6x. |
Given: sum of their squares is 244. So, (3x)2 + (4x)2 + (6x)2 = 244 ⇒ x = 2 |
⇒ (3x)2 + (4x)2 + (6x)2 = 244 ⇒ 9x2 + 16x2 + 36x2 = 244 ⇒ 61x2 = 244 ⇒ x2 = 4 ⇒ x = 2 |
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Largest number = 6x |
Hence, The largest number = 2 × 6 = 12 |
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