Question

The 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. Find the present agesof abha and her mother

Answer 1

Given. ratio of ages of Abha and her mother = 2:5

So, let the ages of Abha and her mother be 2x and 5x

Given, at the time of Abha's birth her mother's age was 27 years



According to the question,

2x + 27 = 5x

2x - 5x = -27

$\cancel{-}$3x = $\cancel{-}$27

3x = 27

x = $\dfrac{27}{3}$

x = 9


Present age of Abha = 2x = 2 × 9 = 18 years

Present age of Abha's mother = 5x = 5 × 9 = 45 years

Answer 2

Ratio of ages of Abha and her mother = 2:5

Let the ages of Abha and her mother in the term of x = 2x and 5x

It is given in the statement that at the time of Abha's birth her mother's age was = 27 years.


Now ,

ATQ :

2x + 27 = 5x

2x - 5x = -27

3x = 27

3x = 27

x = 27/3

x = 9


Present age of Abha =
2x
= 2 × 9
= 18 years

Present age of Abha's mother =
5x
= 5 × 9
= 45 years

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