Question

The sum of two numbers a and b is 15 and the sum of their reciprocal is 3.8 find the numbers a and b​

Answer 1

Step-by-step explanation:

Let the two numbers be A and B

=>A+B=15                      .............(1)

and

1/A +1/B=3/10

⇒(A+B)/AB = 3/10

from (1)

(A+B)/AB = 15/AB

⇒15/AB = 3/10

⇒AB = 50        ............(2)

solving (1) and (2)

A = 10 and B = 5

or

A = 5 and B = 10..

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