Question

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


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Answer 1

Question:

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

Answer:

• The sum of their reciprocals is 9/26

Step-by-Step Explanation:

Given:

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

To Find:

• The sum of their reciprocals?

Solution:

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:

➻ 1/x + 1/y

➻ y + x/xy

Putting the values;

➻ 36/248

➻ 9/62

Hence, the sum of their reciprocals is 9/26.

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Answer 2

Answer:

1/8

Step-by-step explanation:

Let numbers are A and B

A+B =36.

A× B= 288

A = 288/B

288/B +B = 36

288 + B^2 = 36 B

B^2 - 36 B + 288 =0

B°2 - 24B -12 B + 288 = 0

B(B - 24 ) -12 ( B - ,24) =0

(,B- 12) ( B - 24) =0

B= 12 or B = 24

A+ 12 = 36

A = 24

So numbers are ,12 and 24

The sum of their reciprocals are

1/12 + 1/24. =( 2+1)/24 =3/24 =1/8

The answer is 1/8

The sum of the reciprocals is 1/8

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