Explanation

Given:

a:b = 8:9

b:c = 3:4

Make b equal in both ratios (LCM of 9 and 3 is 9):

a:b = 8:9

b:c = 9:12

Now combine:

a:b:c = 8:9:12

So, a:c = 8:12 = 2:3

Last verified on 15-05-2026

Explanation

a:b = 7:8

b:c = 4:5

Make b same:

a:b = 14:16

b:c = 16:20

Therefore, a:c = 14:20 = 7:10.

Last verified on 14-05-2026

Explanation

In 12 L mixture with ratio 1:3:  

Total parts = 1 + 3 = 4  

Water = (1/4) × 12 = 3 L  

Milk = (3/4) × 12 = 9 L  

Let x liters of water be added. Milk stays 9 L.  

New ratio: (3 + x) : 9 = 2 : 3  

So (3 + x)/9 = 2/3  

3(3 + x) = 18  

9 + 3x = 18  

3x = 9  

x = 3  

Last verified on 13-05-2026

Explanation

Let A = 3x, B = 5x

Increase B by 20% → new B = 5x × 1.2 = 6x

New ratio = A : B = 3x : 6x = 3 : 6 = 1 : 2

Last verified on 12-05-2026

Explanation

7 parts = 14 km → 1 part = 2 km

9 parts = 9 × 2 = 18 km

So second distance = 18 km

Last verified on 12-05-2026