Question

if p and q are two relatively prime number such that p+q=10 and p<q how many pair possible for p,q

Answer 1

Answer:

p = 3 & q = 7

Step-by-step explanation:

p+q=10 and p<q

only one

p = 3 & q = 7

3 + 7 = 10

and 3 < 7

Answer 2

Therefore, Only one pair is possible like $(3,7)$

Step-by-step explanation:

Given;

$p$ and $q$ are two relatively prime number such that $p+q=10$ and $p< q$

Relatively prime:

Two integers are relatively prime (or co-prime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one).

In $p+q=10$ this form only two pair possible like $(3,7)$ and $(7,3)$

But in $(7,3)$, here $p< q$ is not possible.

So only one pair is possible like,

$(3+7)=10$ and

$3< 7$

∴ Only one pair is possible like $(3,7)$