Question

The sum of two numbers is 12. The product of the same two numbers is 24. What is the sum of the reciprocals of the two numbers? Express your answer as a common fraction.
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Answer 1

10/24
A+B= 12
AB =24
A= 24/B
Putting this value in
24/+ B=12
On solving this A= 4 and B= 6
So reciprocal is 1/4+ 1/6=4+6/24
=10/24

Answer 2

Answer:

3/8

Step-by-step explanation:

a + b =12

a x b = 24

factors of 24 = 1 , 2 , 3, 4 , 6 , 8 , 12 , 24

out of these 4 and 8 add to make 12

so the reciprocals of 4 and 8 are 1/4 and 1/8

1/4 + 1/8 = 3/8