Question

The sum and product of two numbers are 14 and 33 respectively. What is the sum of their reciprocals. Please answer this with explaination with easy way with step by step explaination.

Answer 1

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For example, if the two numbers are 7 and 4, then the sum is 11 and the difference is 3. When we add the sum and the difference together, we get 14, which is double the original 7. If you add your sum and difference together, then take half of the result, you have one of the numbers.

Answer 2

Given,

Sum of the two numbers = 14

Product of the two numbers = 33

To Find,

Numbers reciprocals sum.

Solution,

Let's take the first number = X

Two numbers sum = 14.

The second number = 14-X.

The product of the two numbers=

X(14-X) = 33

14X-$X^{2}$ = 33

$X^{2}$ -14X+33 = 0

(X-11)(X-3) =0

Therefore,

X =11

Other number = 3

Sum of their reciprocal

1/11 + 1/3 = $\frac{3+11}{11*3}$

14/33

The sum of the reciprocal of the two numbers 11 and 3 is 14/33.