Age Difference

Sam is 3 years older than his sister Priya. In 5 years' time, the sum of their ages will be 35. How old is Priya now?

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  1. Let Priya's current age = p, so Sam = p + 3. In 5 years: Priya = p + 5, Sam = p + 8. Sum: (p+5) + (p+8) = 35 → 2p + 13 = 35 → 2p = 22 → p = 11. Priya is 11 now (Sam is 14). Check: in 5 years, 16 + 19 = 35 ✓.

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