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Ratio of present age of Ranjan and Sanjay is 3 : 2. Sanjay's age 8 years hence will be equal to Ranjan's age 8 years ago. If Irfan is 12 years older than Sanjay, What is the present age of Irfan ?
60
44
42
32
52
- Let the present age of Ranjan be 3x and Sanjay's be 2x.
- According to the problem, Sanjay's age after 8 years will be equal to Ranjan's age 8 years ago:
$$ \text{2x + 8 = 3x - 8} $$
- Solving for x gives:
$$ \text{16 = x} $$
- So, present age of Sanjay = 2x = 32 years.
- Irfan is 12 years older than Sanjay, so:
$$ \text{Irfan's age = 32 + 12 = 44 years} $$
- Therefore, the present age of Irfan is 44.
By: Parvesh Mehta ProfileResourcesReport error
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