Question

If 2p,q.p+4p,35 are in A.P ,find value of p and q.

Answer 1

Answer:

Answer

Wehave

2p,2p+q,p+4q,35areinA.P

⇒2p+q−2p=p+4q−2p−q

⇒q=3q−p

∴p=2q−−−−−(1)

Now,also

p+4q−2p−q=35−p−4q

⇒3q−p=35−p−4q

⇒3q−2q=35−2q−41[Fromequation1]

⇒q=35−6q

⇒7q=35

∴q=5

and,

p=2q

∴p=10