Question

The sum of 2 numbers is 36 and their product is 248. What will be the sum of their

reciprocals​

Answer 1

Given that:

• The sum of two numbers is 36.
• And their product is 248.

To Find:

• What will be the sum of their reciprocals.

Let us assume:

• One number be X.
• Another number be Y.

Now we have:

• Sum of numbers = X + Y = 36
• Product of numbers = XY = 248

Sum of their reciprocals:

$\mathtt{ = \dfrac{1}{X} + \dfrac{1}{Y} }$

$\mathtt{ = \dfrac{Y + X}{XY} }$

Putting the values.

$\mathtt{ = \dfrac{36}{248} }$

$\mathtt{ = \dfrac{9}{62} }$

Hence,

• The sum of their reciprocals $\mathtt{ = \dfrac{9}{62} }$

Answer 2

Step-by-step explanation:

given :

• sum of 2 numbers = 36

• p = 248

to find :

• sum of their = ?

• sum of their = ?

solution :

• sum = 36

• product = 248

two number we can take x ad y

so we can reciprocal it then we

get :

• product = 1/x + 1/y

• product = y + x / xy

Substituting the alphabet

• sum = 36/248

• sum = 9/62

so, the sum and product = 9/62