Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.
Option 1: $\frac{9}{70}$
Option 2: $\frac{3}{140}$
Option 3: $\frac{4}{35}$
Option 4: $\frac{3}{16}$

Question

Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.

Option 1: $\frac{9}{70}$

Option 2: $\frac{3}{140}$

Option 3: $\frac{4}{35}$

Option 4: $\frac{3}{16}$

Team Careers360 · Accepted Answer

Correct Answer: $\frac{9}{70}$

Solution : Let the numbers be a and b
⇒ a + b = 45
and, a × b = HCF × LCM = 5 × 70 = 350
⇒ $\frac{1}{a}$ + $\frac{1}{b}$ = $\frac{a + b}{350}$ = $\frac{45}{350}$ = $\frac{9}{70}$
Hence, the correct answer is $\frac{9}{70}$.

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Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.Option 1: 970Option 2: 3140Option 3: 435Option 4: 316

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Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.
Option 1: $\frac{9}{70}$
Option 2: $\frac{3}{140}$
Option 3: $\frac{4}{35}$
Option 4: $\frac{3}{16}$