The HCF and LCM of two numbers a and b are respectively 6 and 210. If a + b = 72, then 1/a + 1/b =दो संख्याओं a और b का म०स०प० और ल०स०प० क्रमशः 6 और 210 हैं। यदि a + b = 72, तो 1/a + 1/b =

1. A1/35
2. B3/35
3. C5/37
4. D2/35

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Correct answer: D. 2/35

Explanation

Product of two numbers = HCF × LCM = 6 × 210 = 1260, so ab = 1260. Then 1/a + 1/b = (a + b)/ab = 72/1260 = 2/35.दो संख्याओं का गुणनफल = म०स०प० × ल०स०प० = 6 × 210 = 1260, अतः ab = 1260। तब 1/a + 1/b = (a + b)/ab = 72/1260 = 2/35।