Question : Directions: The ratio between the present ages of Pankaj and Punit is 5 : 6, and the sum of their ages is 33 years. What will be the difference (in years) of their ages?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
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Correct Answer: 3
Solution :
Given:
The ratio of the present ages of Pankaj and Punit is 5 : 6 and the sum of their ages is 33 years.
Let the present ages of Pankaj and Punit be 5y and 6y.
According to the question –
⇒ 5y + 6y = 33
⇒ 11y = 33
⇒ y = 33 ÷ 11
⇒ y = 3
Therefore,
Present age of Pankaj = 5y = 5 × 3 = 15 years
Present age of Punit = 6y = 6 × 3 = 18 years
Difference = 18 – 15 = 3 years
Hence, the second option is correct.
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