Question

IF THE SUM OF TWO NUMBERS IS 55 AND THE HCF AND LCM OF THESE NUMBERS ARE 5 &120 RESPECTIVELY THEN THE SUM OF THE RECIPROCALS OF THE NUMBERS IS EQUAL TO ? ​

Answer 1

Answer:

5/24

Step-by-step explanation:

i thin that if the number is 5 and 120 the their reciprocal should be 1/5 and 1/120

1/5+1/120=24+1/120=25/120=5/24

Answer 2

Let the numbers be x and y.

Now according to the question,

x + y = 55

HCF(x,y)=5 and LCM(x,y)= 120

We, know that xy=HCF(x,y) × LCM(x,y)

So, xy=120×5

Now, Sum of their resiprocal:

$\: \: \: \frac{1}{x} + \frac{1}{y} \\ = \frac{x + y}{xy} \\ = \frac{55}{120 \times 5} \\ = \frac{11}{120}$

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