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the product of two numbers is 84 and their hcf is 2.find the number of such pairs.


Vishal Chandra 8th May, 2020
Answer (1)
ADITYA KUMAR Student Expert 8th May, 2020
Hi

We have ,
HCF = 2
Let let us assume the required two numbers = 2p and 2q ,
where p and q are prime to each other.
Now, A/Q
2p *2q = 84
2 (p + q) = 84
p + q = 84 / 2 = 42

42 = 1*42, 42= 2*21 , 42= 3* 12, 42= 6*7
Possible pairs of numbers satisfying this condition = 4

Hence , four pairs are of required numbers.

Thankyou

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