Question

If a: b = 3:2 and b:e 4:5, find a : c.​

Answer 1

Answer:

a:c = 6:5

Step by Step:

We have a:b = 3:2

Here, lets us assume

a = 3x and b = 2x ........ eq. 1

for any integer 'x'

Also, b:c = 4:5

Again, let's assume

b = 4y and c = 5y ......... eq. 2

From eq. 1 and eq. 2,

b = 2x = 4y

Dividing both sides by 2

x = 2y ....... eq. 3

Now, we have to find a:c

from eq.1 and eq.2,

a:c = 3x:5y

from eq.3, put the value of x.

a:c = 3x:5y = 3(2y):5y

a:c = 6y:5y

Hence, a:c = 6:5

I hope it helps.