Question

the ratio of ages of abha and her mother is 2:5.at the time of abha's birth her mothers age was 27 year .find the present ages of abha and her mother

Answer 1

Solution-

Let the present age of Abha be x years
Hence the age of her mother is x + 27 years.

Given:

x/(x + 27) = 2/5

5x = 2 (x + 27)

5x = 2x + 54

3x = 54

x = 18 years

Answer - The present age of Abha is 18 years
                and her mother's age is (18 + 27 = 45 years)

Answer 2

Answer:

Abhi's present age is 18 years and her mother's present age is 45 years.

Step-by-step explanation:

Given :

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

To find :

Their present ages.

Solution :

Let the age of Abha be x, then her mother's age will be + 27 years, i.e., x + 27.

ATP :

• Ratio of their ages = 2 : 5

So,

• $\frac{x}{x\;+\;27}\;=\;\frac{2}{5}$

Cross multiply,

• $5x\;=\;2(x\;+\;27)$

• $5x\;=\;2x\;+\;54$

• $3x\;=\;54$

• $x\;=\;\frac{54}{3}$

• $x\;=\;18$

Hence,

• Abhi present age = 18 years.
• Abhi's mothers present age (18 + 27) = 45 years.

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