Question

The Ratio of ages of Abha and her mother is 2:5. At the time of Abhas Birth her mothers age was 27 year. Find the present ages of Abha and her mother.

Answer 1

Given :

• Ratio of ages of Abha and her mother is 2:5.
• At the time of Abha's birth her mother's age was 27 years.

To Find :

• Their present ages.

Calculation :

Supposition: Let us suppose the present ages of Abha and her mother as,

• 2x (Abha's age)
• 5x (Abha's mother's age)

It's given that at the time of Abha's birth, her mother's age was 27 years. So here we need to subtract both the values (ratio of Abha and her mother's age) and find the value of x.

$\longrightarrow$ 5x - 2x = 27 years

$\longrightarrow$ 3x = 27

$\longrightarrow$ x = 27/3

$\longrightarrow$ x = 9 years.

Now, present ages of Abha and her mother is -

$\dag$ Present age of Abha :

→ 9 × 2

→ 18 years

$\dag$ Present age of her mother :

→ 9 × 5

→ 45 years

Therefore,

• Present age of Abha is 18 years.
• Present age of Abha's mother is 45 years.

Answer 2

Solution:

• Here,The Ratio of ages of Abha and her mother is 2:5. At the time of Abhas Birth her mothers age was 27 years. Find the present ages of Abha and her mother.

Need to find: Present ages of abha and her mother.

Given:

• Ratio of ages of abha and her mother is 2:5.
• At the time of abhas birth her mothers age was 27 years.

Step-by-step explanation:

• Let the present age of abha be 2x and the age of her mother be 5x.

Applying the values,

→ 5x - 2x = 27

→ 3x = 27

→ x = 27/3

→ x = 9

• Therefore,the present age of abha is 2x = 2 × 9 = 18 yrs and her mother's age is 5x = 5 × 9 = 45 yrs.