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four years ago ravi was 8 years older than priya. if he is now 3 times as old as she us, find their present age?​

User Sarathi
by
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2 Answers

2 votes

Answer:

→ x + 3x + 7x + 9x = 360°

→ 20x = 360°

→ x = 360°/20

→ x = 18°

Therefore,

1st angle = x = 18°

2nd angle = 3x = 3(18) = 54°

3rd angle = 7x = 7(18) = 126°

4th angle = 9x = 9(18) = 162°.

Explanation:

User Elvio
by
7.8k points
4 votes

Given:

Ravi is 3 times the age of Priya

Before 4 years, Ravi was 8 years older than Priya.

Find:

their present age

Solution:

Let Ravi's age be x years and Priya's age be y years.

Ravi is 3 times the age of Priya

⟹ Ravi's age = 3 * Priya's age

⟹ x = 3y -- equation (1)

And,

Before 4 years, Ravi was 8 years older than Priya.

Priya's age before 4 years = (y - 4) years.

Ravi's age before 4 years = (x - 4) years.

According to the above condition,

⟹ x - 4 = y - 4 + 8

Substitute the value of x from equation (1)

⟹ 3y - 4 = y + 4

⟹ 3y - y = 4 + 4

⟹ 2y = 8

⟹ y = 8/2

⟹ y = 4

Substitute the value of y in equation (1).

⟹ x = 3(4)

⟹ x = 12

Therefore,

Present age of Ravi = x = 12 years

Present age of Priya = y = 4 years.

I hope it will help you.

Regards.

User Dokgu
by
8.4k points

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