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.
Answers
Answered by
4
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
Answered by
0
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
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