[\dfrac{12}{35}] The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of thes

For Competitive Exams

The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?

$ \dfrac{12}{35} $

$ \dfrac{1}{35} $

$ \dfrac{35}{8} $

$ \dfrac{7}{32} $

Explanation:

Let the numbers be $ a $ and $ b $. Then, $ a $ + $ b $ = 12 and ab = 35.

$\therefore \dfrac{a + b}{ab} $=$ \dfrac{12}{35} $ $\Rightarrow$ $ \left(\dfrac{1}{b} +\dfrac{1}{a} \right) $=$ \dfrac{12}{35} $

$\therefore$ Sum of reciprocals of given numbers =$ \dfrac{12}{35} $

Additional Questions

If the number 517324 is completely divisible by 3, then the smallest whole number in the place of will be:	Answer
If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:	Answer
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?	Answer
How many 3 digit numbers are divisible by 6 in all ?	Answer
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:	Answer
What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?	Answer
If the number 5 * 2 is divisible by 6, then * = ?	Answer
Which one of the following numbers is completely divisible by 45?	Answer
Which of the following numbers will completely divide (3²⁵ + 3²⁶ + 3²⁷ + 3²⁸) ?	Answer
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?	Answer

Share with Friends