LCM and HCF Practice Test 4

Question : 37 of 40

Marks: +1, -0

The LCM and HCF of two numbers x and y are 3 and 105 respectively. If x + y = 36, the value of

1 /x +1/y

is:

Solution:

Let two numbers be x and y.
LCM and HCF of two numbers are 3 and 105.
We know that,
Product of two numbers = Product of HCF and LCM

xy = (3)× (105 )

xy = 315

We have

x+ y = 36

The value of

1/x+1/y={x+y}/{xy}

=36/315=4/35

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