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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