the product of two numbers is 84 and their hcf is 2.find the number of such pairs.
Answer (1)
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
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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