Question

Three numbers p, q, and, r are pairwise coprime. If the product of p and q is 629 and the product of q and r is 391 then find the sum of p, q, r.
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Answer 1

Answer:

705.5

Step-by-step explanation:

p+ q =629

p=629÷2

p=314.5

q=314.5

q+r=391

314.5+r=391

r=391-314.5

r=76.5

p+q+r=

314.5+314.5+76.5=705.5

Answer 2

Given ,

(pxq) = 629

(qxr)=391

Since the p,q,r are coprimes to each other, common factor becomes 1.

That means, HCF of 629 and 391 becomes q

HCF of (629,391) = 17 =q

⇒ p = 629/17 = 37

⇒r = 391/17 = 23

p+q+r = 37+17+23

         = 77