Lalwani, Mehra, Narayan, Ojha and Patel recently found out that all of their birthdays were on the same day, though they are of different ages.
On their mutual birthday, the following conversation took place between them and I was the lucky one who overheard this conversation.
Ojha said to Mehra: "I'm nine years older than Patel." Patel said to Mehra: "I'm seven years older than Lalwani." Lalwani said to Mehra: "Your age is exactly 70% greater than mine." Mehra said to Narayan: "Patel is younger than you." Narayan said to Ojha: "The difference between our ages is six years." Narayan said to Lalwani: "I'm ten years older than you." Narayan said to Lalwani: "Mehra is younger than Ojha." Mehra said to Narayan: "The difference between your age and Ojha's is the same as the difference between Ojha's and Patel's."
Since I knew these people -- and how old they were, I knew that all the statements are not true.
After thinking about it, I realized that when one of them spoke to someone older, everything one said was true, but when speaking to someone younger, everything one said was false.
How old is each person?
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