Question
Download Solution PDFThe sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculations:
Let a and b be two numbers.
We know (H.C.F) × (L.C.M) = Product of two numbers
Putting H.C.F and L.C.M. as 3 and 54 respectively we get a × b = 3 × 54
Also, a + b = 18
So, we have
1/a + 1/b
⇒ (a + b)/ab
⇒ 18/(3 × 54)
= 1/9
Hence, The Required value is 1/9.
Last updated on Jul 9, 2025
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