Question

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(give step wise answer)

Answer 1

Let their ages be 2x and 5x respectively

2x + 27 = 5x

=>5x-2x = 27

=> 3x = 27

=> x= 9

Abha's age = 2x = 18

Her mother's age is 5x= 45

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Answer 2

Solution :-

The ratio of the ages of Abha and her mother = 2 : 5

Let the present ages of Abha and her mother be 2x and 5x respectively.

Given : Abha's mother was 27 years old at the time of Abha's birth.

Then, according to the question.

⇒ 2x + 27 = 5x

⇒ 2x - 5x = - 27

⇒ - 3x = - 27

⇒ x = 27/3

⇒ x = 9

Present age of Abha = 2*9 = 18 years

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

Hence, Abha and her mother's present ages are 18 years and 45 years respectively.

Answer.