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Q.

If  a,b,c  be three distinct natural numbers in Arithmetic Progression and  a+b+c=2025, then the possible number of ordered pairs  (a,b,c) is ___

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answer is 1348.

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Detailed Solution

a+c=2b3b=2025b=675a+c=1350

Number of positive integer solutions will be 1349C1=1349 which includes  675,675  as the solution but shouldn’t be included

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