Explanation

Let's define the ages of the three people:

• Let David's age be $D$.
• John's age is 4 years more than David's, so John's age is $D+4$.
• Joe's age is 2 years less than David's, so Joe's age is$D-2$.

The sum of their ages is given as 41:

$$(D)+(D+4)+(D-2)=41$$

1. Simplify the equation:

   $$D + D + 4 + D - 2 = 41$$ $$3D + 2 = 41$$

2. Subtract 2 from both sides:

   $$3D = 39$$

3. Divide both sides by 3:

   $$D = 13$$

So, David is 13 years old.

• John's age is $D + 4 = 13 + 4 = 17$ years.
• In 8 years, John's age will be: $$17 + 8 = 25 text{ years}$$

Explanation

Explanation

Explanation

Let's denote the total scholarship grant as "x".

The student spends:

• 15% on food: 0.15x
• 45% on tuition: 0.45x

So, after these expenses, he has:

x - 0.15x - 0.45x = 0.4x remaining.

He then spends 50% of this remaining amount on hostel fees:

0.5 * 0.4x = 0.2x

After this, he is left with Rs 8,000. So, we can set up the equation:

0.4x - 0.2x = 8000

Simplifying the equation:

0.2x = 8000

Dividing both sides by 0.2:

x = 40000

Therefore, the student's scholarship grant is Rs 40,000.

Explanation

1. 
   

2. $$a^2 + b^2 = 25 - 12 = 13.$$

Explanation

Explanation

To find the number of sides of a regular polygon, we can use the formula:

Number of sides = 360 / exterior angle

In this case: Number of sides = 360 / 36 = 10

A polygon with 10 sides is called a decagon.

Explanation

1. Let the price of an adult ticket be x
2. The price of a child ticket is x - 240
3. 18500x + 2500(x-240) = 41400000
4. 18500x + 2500x - 600000 = 41400000
5. 21000x = 42000000
6. x = 42000000 / 21000 = 2000

Explanation

• Six girls are sitting in a circle facing towards the center.
• R is between N and S.
• P is next to the left of V.
• R is 4th to the right of P.

Start by assuming a position for each girl and using the clues:

1. P is next to the left of V.
   • Since they are facing towards the center, P will be on the immediate left of V.
2. R is 4th to the right of P.
   • Moving 4 positions to the right of P gives the position of R.
3. R is between N and S.
   • Since R is between N and S, N and S should be on either side of R.

Now, let's arrange them:

• Assume positions for P and V based on the first clue.
• With the second clue, place R correctly in relation to P.
• Finally, place N and S based on the third clue.

After carefully analyzing all clues, we can conclude that:

The position of T is second to the left of P.

Explanation