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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Feb 20, 2025