Question

Sum of two numbers is 128 their HCF and LCM are 8 and 504 respectively. The sum of
the reciprocal of those numbers will be.​

Answer 1

Answer:

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Answer 2

Given :-----

• sum of two numbers = 128
• HCF = 8
• LCM = 504.

Question :--- Find sum of recoprocal of those numbers ?

Solution :-----

Let the numbers be x and y .

we know that,

x × y = LCM × HCF

so,

xy = 128×8 = 1024 .

Now,

we have to find sum of their reciprocal .

so,

1/x + 1/y = (y+x)/xy .

putting values we get,

1/x + 1/y = 128/1024 = 1/8 (Ans).

Hence, sum of their reciprocal will be 1/8 ...