Explanation

Explanation

Explanation

(2x + y) + (x − y) = 11 + 1

3x = 12

x = 4

Last verified on 13-05-2026

Explanation

3x − 4 = 17

3x = 17 + 4 = 21

x = 21 ÷ 3 = 7

Last verified on 13-05-2026

Explanation

Time for first part = 60 ÷ 40 = 1.5 h

Time for return = 60 ÷ 60 = 1 h

Total distance = 120 km

Total time = 2.5 h

Average speed = 120 ÷ 2.5 = 48 km/h

Last verified on 13-05-2026

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

Explanation

Green ratio = 5 parts = 60

1 part = 60 ÷ 5 = 12

Total ratio = 3 + 4 + 5 = 12 parts

Total value = 12 × 12 = 144

Last verified on 12-06-2026

Explanation

Let the numbers be x and y, with x > y  

x + y = 52  

x - y = 8  

Add both equations:  

2x = 60 → x = 30  

Then y = 52 - 30 = 22  

Check: 30 + 22 = 52, 30 - 22 = 8  

Last verified on 12-05-2026