Explanation

4 - 3x = 8 - x

Solve step-by-step:

1. Move all x terms to one side:

   4 - 3x + x = 8  

   ⇒ 4 - 2x = 8

2. Subtract 4 from both sides:

   -2x = 4

3. Divide by -2:

   x = -2

Explanation

Given:  

x/5 - (3x/2) = 7 + x/2

Step 1: Eliminate fractions by finding a common denominator  

The LCM of 5 and 2 is 10. Multiply both sides of the equation by 10:

10 × (x/5 - 3x/2) = 10 × (7 + x/2)

(2x - 15x) = 70 + 5x  

-13x = 70 + 5x

Step 2: Move all terms to one side

-13x - 5x = 70  

-18x = 70

Step 3: Solve for x

x = 70 / -18 = -35/9

Explanation

When solving problems where A and B work together, you are essentially comparing their individual rates of work and how they combine to form a total rate.

This is a classic application of ratios and proportions. 

Explanation

If 20% of the students are girls, then the remaining percentage (100% - 20% = 80%) represents the boys.

So, in a class of 40 students:

80% of 40 = (80/100) * 40 = 0.8 * 40 = 32

Therefore, there are 32 boys in the class.

Explanation

Prime factorization:

30 = 2 × 3 × 5

24 = 2³ × 3

18 = 2 × 3²

Common factors: 2 × 3 = 6

HCF = 6

Explanation

Series: 64, 48, 40, 36, 34, ?

Now find the differences between consecutive terms:

- 64 → 48: -16  

- 48 → 40: -8  

- 40 → 36: -4  

- 36 → 34: -2

You can see the differences are decreasing: -16, -8, -4, -2...

Next difference: -1

So, 34 - 1 = 33

Explanation

Explanation

We are given:

220% of X = 44  

→ (220/100) × X = 44  

→ (11/5) × X = 44  

→ X = 44 × (5/11) = 20

Now, find 44% of X:

→ (44/100) × 20 = 8.8

Explanation

The car goes 8 km = 8000 meters in 4000 rounds.

So, one round = 8000 ÷ 4000 = 2 meters.

This is the circumference of the tire.

Now, Diameter = Circumference ÷ 3.14 = 2 ÷ 3.14 ≈ 0.64 m, nearly 0.6 m.

Explanation

Speed = 12 km/h → Distance ÷ Speed = Time → 48 ÷ 12 = 4 hours.