Question

the ratio of ages of ajay and his father is 3 : 5. at the time of ajay birth his father age was 30 years. find the present age of ajay​

Answer 1

Given:

• The ratio of ages of ajay and his father is 3 : 5. at the time of ajay's birth his father age was 30 years.

To find:

• Present age of ajay?

Solution:

• Let's consider ajay's age be 3x & his father's age be 5x

Here,

• At the time of ajay's birth his father age was 30 years.

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« Now, Let's find x ,

→ (5x - 3x) = 30

→ 2x = 30

→ x = 30/2

→ x = 15

Therefore,

• Ajay's father's age = 5x = 5(15) = 75 years.
• Ajay's age = 3x = 3(15) = 45 years.

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« Now, Let's Verify this,

→ AJay's father's age - Ajay's age = Ajay's father's age when Ajay's wasn't born.

→ 75 - 45 = 30

→ 30 = 30

LHS = RHS

• Hence Verified.

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∴ Hence, The present age of ajay is 45 years.

Answer 2

Given :

✰ The ratio of ages of ajay and his father is 3 : 5.At the time of ajay birth his father age was 30 years

To find :

✰ Find the present age of ajay

Solution :

✰ In the Question ages of ajay and his father is given and his father was 30 years on the time of ajay's Birth. So, We will let the age of ajay be 3x and age of ajay's father be 5x.

• Let Age of Ajay = 3x

• Age of ajay's Father = 5x

➤ (5x - 3x) = 30

➤ 2x = 30

➤ x = 30/2

➤ x = 15

Therefore,

Age of Ajay's father = 5x

Age of Ajay's father = 5 × 15

Age of Ajay's father = 75 years

Age of Ajay = 3x

Age of Ajay = 3 × 15

Age of Ajay = 45 years

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