Explanation

Let numbers be 5x and 3x

Given: 5x - 3x = 18

2x = 18

x = 9

Numbers are: 5x = 45, 3x = 27

Explanation

Let Sahil's age = x

Mother's age = 3x

After 5 years:

Sahil = x + 5

Mother = 3x + 5

Sum: x+5 + 3x+5 = 66

4x + 10 = 66

4x = 56

x = 14

Explanation

Let total pages = x

Read = 7/9x

Left = x - 7/9x = 2/9x

Given: 2/9x = 40

x = 40 × 9/2

x = 180

Explanation

Step 1:

Initial movement North. The man starts at a point and walks 3 km towards the North.

After this displacement, he is facing the North direction. 

Step 2:

First turn and movement He turns left from the North direction.

A left turn from North corresponds to the West direction.

He then walks  2 km in this direction. 

Step 3:

Second turn and movement.

While facing West, he turns left again.

A left turn from West corresponds to the South direction.

He walks 3km South, which brings him to the same horizontal level as his starting point. 

Step 4: Final turn and direction

From the South direction, he turns right.

A right turn from South corresponds to the West direction.

He continues to walk straight in this final direction. 

The man is walking in the West direction. 

Explanation

Explanation

He sold 20 articles for Rs. 60 and gained 20%.

Let C.P. of 1 article = x

Then, S.P. of 1 article = x × 1.2

So for 20 articles:

20 × 1.2x = 60

→ x = 60/24 = 2.5

Thus, cost of 1 article = Rs. 2.5

Now, how many articles can he buy for Rs. 60?

60 ÷ 2.5 = 24

Explanation

Given:

Food for 24 men = 29 days

So, total food = 24 × 29 = 696 man-days (means food for 696 men for 1 day).

They eat for 4 days first:

In 4 days, 24 men eat = 24 × 4 = 96 man-days of food.

Remaining food = 696 − 96 = 600 man-days.

Now, 1/6 of 24 men leave → 24 × (1/6) = 4 men leave.

Remaining men = 24 − 4 = 20 men.

Now 600 man-days of food for 20 men → 600 ÷ 20 = 30 days.

Explanation

Ali ran:

¼ km × 17 = 17/4 km = 4 1/4 km

Explanation

• A man is standing upside down with his face towards the south.
• Normally, if a person stands upright facing south, their left hand points east and right hand points west.
• When flipped upside down, the directions of their hands do not change relative to their body.

Thus, the left hand will still point east

Explanation

Combined rate = 1/8 + 1/24 = 1/6.

Hence, time taken together = 6 days.