Question
Download Solution PDFThe sum of two numbers is 25 and their HCF and LCM are 3 and 105 respectively. The sum of the reciprocal of the two numbers is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sum of two numbers is 25 and their HCF and LCM are 3 and 105 respectively.
Formula used:
Product of two numbers = HCF × LCM
Let the numbers be x and y.
Calculation:
x + y = 25
xy = 3 × 105 = 315
The sum of the reciprocals of the numbers is:
1 / x + 1 / y = (x + y) / xy
⇒ 25 / 315
⇒ 5 / 63
∴ The correct answer is option (3).
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