Mathematics, 04.06.2021 05:10 AbhiramAkella
Francesca, Georgina, Harold, Ivan, and Justice recently discovered that all of their birthdays were on the same day. However, none of them are the same age. They threw a party to celebrate their birthdays and I happened to overhear some of their conversation: β Ivan said to Georgina: "I'm nine years older than Justice." β Justice said to Georgina: "I'm seven years older than Francesca." β Francesca said to Georgina: "Your age is exactly 70% greater than mine." β Georgina said to Harold: "Justice is younger than you." β Harold said to Ivan: "The difference between our ages is six years." β Harold said to Francesca: "I'm ten years older than you." β Harold said to Francesca: "Georgina is younger than Ivan." β Georgina said to Harold: "The difference between your age and Ivan's is the same as the difference between Ivan's and Justice's." I noticed some of them were not telling the truth. I realized that when one of them spoke to someone who was older than them, they told the truth, but when speaking to someone younger than them, they lied. β How old is each person? Justify your answer.
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