Question

Sum of two numbers is a and their product is b what will be the sum of their reciprocals​

Answer 1

Answer:a/b

Step-by-step explanation:let the numbers be x and y

Sum of reciprocals=1/x+1/y

=x/xy+y/xy---(taking LCM)

=(x+y)/xy

=a/b-----(since sum of them=a and product=b

Answer 2

Answer:

a/b

Step-by-step explanation:

let two numbers be x , y

given sum of two numbers = a

i.e , x+y = a

    product  of numbers i.e , x*y = b

now reciprocals of numbers are 1/x , 1/y

sum of reciprocals = 1/x + 1/y

                             l.c.m = x y

                        = (y+x)/ xy

                         = (x + y )/ xy

                          = a/b