Question

Pravin and Ritesh have pocket money in the ratio of 5 : 3. If pravin gives $20 to Ritesh, both of them will have equal amount of money. How much did each of them have in the beginning?

Q.2 (Optional)

The angles of a pentagon are in the ratio of 2 : 4 : 2 : 1 : 1 if th total measure of the angles of a pentagon is 540 degrees, what are the measures of each angle?​

Answer 1

Answer:

questions :1

answer is 20

Step-by-step explanation:

ratio is 5:3

so, 20×5/8 = 12.5

20×3/8 = 7.5

therefore,

to equal both in first we have to add 7.5 and in second 12.5 in the ratio of 5:3 so we get both the money same.

Answer 2

Step-by-step explanation:

Que 1-

Pravin and Ritesh have pocket money in the ratio of 5 : 3. If pravin gives $20 to Ritesh, both of them will have equal amount of money. How much did each of them have in the beginning?

Solution:

Let the original amount of money of Pravin =Rs. 5x

Then, the original amount of money of Ritesh = Rs. 3x

When pravin gives Rs. 20 to Ritesh,

Then, Amount of money of Pravin = Rs. (5x-20)

And, Amount of money of Ritesh = Rs. (3x+20)

According to Question,

⇛ 5x - 20 = 3x + 20

⇛ 5x - 3x = 20+20

⇛ 2x = 40

⇛ x = $\frac{40}{2}$

⇛ x = 20

• Pravin's Original Amount of money

⇛ 5x = 5× 20 = Rs. 100

• Ritesh's Original Amount of money

⇛ 3x = 3×20 = Rs. 60

Que 2-

The angles of a pentagon are in the ratio of 2 : 4 : 2 : 1 : 1 if th total measure of the angles of a pentagon is 540 degrees, what are the measures of each angle?

Solution:

Let the angles of a Pentagon be 2x, 4x,2x, x and x.

Then,

The total measure of angles of a Pentagon= 540°

According to question,

⇛ 2x+4x+2x+x+x = 540

⇛ 10x = 540

⇛ x = 54

Now,

1st angle = 2x

⇛ 2×54

⇛ 108°

2nd angle = 4x

⇛ 4×54

⇛ 216°

3rd angle = 2x

⇛ 2×54

⇛ 108°

4th angle = x

⇛ 54°

5th angle = x

⇛ 54°