Question : The present age of Rahim is five times the present age of his daughter, Savita. Seven years from now, Rahim will be three times as old as Savita. What is the present age (in years) of Rahim?
Option 1: 45 years
Option 2: 35 years
Option 3: 40 years
Option 4: 30 years
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Correct Answer: 35 years
Solution :
Let the present age of Rahim be x years and her daughter be y years.
Given: x = 5y
According to the question,
x + 7 = 3(y + 7)
⇒ x + 7 = 3y + 21
Putting the value of x, we get:
5y + 7 = 3y + 21
⇒ 2y = 14
⇒ y = 7
So, x = 5y = 5 × 7 = 35
Hence, the correct answer is 35 years.
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