Numbers - Arithmetic Aptitude Questions and Answers

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

\(\frac {12} {35 } \)

\(\frac {1} {35 } \)

\(\frac {35} {8 }\)

\(\frac {7 } {3 2 } \)

Answer : Option A

Explanation :

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

\( \frac { a+b } { ab } \)=\(\frac {12} {35 } \) \( [ \frac { 1 } { b }+\)\(\frac { 1 } { a}] \)=\(\frac {12} {35 } \)

Sum of reciprocals of given numbers =\(\frac {12} {35 } \)

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