The sum of the two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. .
Let's assume the given number is a and b
We know that,
⇒ a × b = L.C.M × H.C.F
⇒ a × b = 3 × 54
⇒ ab = 162
And,
⇒ a + b = 18
According to the question,
The sum of the reciprocal = 1/a + 1/b
⇒ (a + b)/ab
⇒ 18/162 = 1/9