Kiran got engaged 12 years ago. Kiran's present age is 7/4 of her age at the time of engagement. If the present age of Kiran's mother is 15/7 that of present age of Kiran, then what was her mother's age (in years) at the time of her engagement?

Kiran got engaged 12 years ago. Kiran's present age is 7/4 of her age at the time of engagement. If the present age of Kiran's mother is 15/7 that of present age of Kiran, then what was her mother's age (in years) at the time of her engagement? Correct Answer 48

GIVEN :

Kiran got engaged 12 years ago.

Kiran's present age is 7/4 of her age at the time of engagement.

The present age of Kiran's mother = (15/7) × The present age of Kiran

 

ASSUMPTION :

Let the present age of Kiran be x

Then Kiran’s age at the time of engagement = x – 12

 

CALCULATION :

According to question,

⇒ x = (x – 12) × 7/4

⇒ 4x = 7x – 84

⇒ 3x = 84

⇒ x = 28

The present age of Kiran = x = 28 years

The present age of Kiran's mother = (15/7) × 28 = 60 years

Kiran’s mother's age (in years) at the time of her engagement = 60 – 12 = 48 years

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