Question

The present age of Aradhana and Aadrika is in the ratio 3:4. 5 years back, the ratio of their ages was 2:3. What is the present age of Aradhana?
12 years
15 years
20 years
22 years
10 years

Answer 1

Answer:

15 years

Step-by-step explanation:

Age now - 3x

Age 5yrs back - 2x = 3x-5

x=5

age now= 15

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Answer 2

EXPLANATION:

Given:

• The present ages of Aradhana and Aadrika is in the ratio 3 : 4.
• 5 years back, the ratio of their ages was 2 : 3.

To find:

• The present age of Aradhana.

Solution:

Let the present ages of Aradhana be 3x and Aadrika be 4x.

Their ages before 5 years (past) :-

⟹ (3x - 5)

⟹ (4x - 5)

As per the condition :-

⟹ (3x - 5)/(4x - 5) = 2/3

⟹ 3(3x - 5) = 2(4x - 5)

⟹ 9x - 15 = 8x - 10

⟹ 9x - 8x = -10 + 15

⟹ x = 5

Present age of Aradhana :-

⟹ 3x = 3(5) = 15 years

∴ The present age of Aradhana is 15 years.