Question

If p: q = 2:3 find the ratio 6p: 2q

Answer 1

P:q=2:3 then p=2k and q=3k where k is common ratio.
6p:2q=6(2k):2(3k)=12k:6k=2:1

Answer 2

Given,

The ratio of p and q, p:q = 2:3

To find,

The ratio of 6p:2q.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the value of p is 2x and the value of q is 3x.

Mathematically,

For two variables a and b,

a:b = a/b

{Statement-1}

Now, according to the question;

The value of 6p = 6×2x = 12x

The value of 2q = 2×3x = 6x

Now, the value of 6p:2q

= 6p/2q

{according to statement-1}

= 12x/6x

= 2/1 = 2:1

{according to statement-1}

Hence, the value of 6p:2q is equal to 2:1.