Question

42. If pq-3:4 and qr=8-9. Find p q r?
a) 6:78
b) 689
c) 6:9:10
d) 7.9:11​

Answer 1

QUESTION:

If p:q=3:4 and q:r=8:9. Find p:q:r?

a) 6:7:8

b) 6:8:9

c) 6:9:10

d) 7:9:11

ANSWER:

Given:

• p:q = 3:4

• q:r = 8:9

To Find:

• Value of p:q:r

Solution:

We are given that,

⇒ p:q = 3:4

So, let p and q be 3x and 4x respectively.

∴ p = 3x & q = 4x

Also,

⇒ q:r = 8:9

So, let q and r be 8y and 9y respectively.

∴ q = 8y & r = 9y

But, we have already found that,

q = 4x

So,

⇒ 4x = 8y

⇒ x = 2y ——(1)

Using (1),

⇒ p = 3x = 3(2y) = 6y.

Therefore,

⇒ p:q:r = 6y:8y:9y

⇒ p:q:r = 6:8:9

b) 6:8:9 is the answer.