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Question
A mother is now three times as old as her daughter. 5 years ago, she was four times as old as her daughter. What is the current age of the daughter?
Options
12 years
20 years
16 years
15 years
MCQ
Solution
15 years
Explanation:
Let the current age of the daughter be x.
∴ The mother's current age = 3x
5 years ago,
Age of daughter = (x – 5) years
Age of mothers = (3x – 5) years
We know,
(3x – 5) = 4(x – 5)
⇒ 3x – 5 = 4x – 20
⇒ x = 15
∴ Age of the daughter = 15 years.
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Problems Based on Ages (Entrance Exam)
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