If a − b = 9 and a
2 + b
2 = 881, where a and b are natural numbers. Find a + b
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Answer:
a = b + 9
so, (b+9)² + b² = 881
2b² + 81 + 2b² + 18b = 881
4b² + 18b + 81 = 881
4b² + 18b - 800 = 0
2b² + 9b - 400 = 0
b = (-9 +- 41) /4
b = 8
a = 9 + 8 = 17
so a + b = 8+17 = 25
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