Q. 134.3( 15 Votes )

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Answer :

Given: Product of three part = 4623


To find: Three parts.


Formula Used: nth term of an AP is:


an = a + (n - 1) d


Explanation:


Let the three parts of the number 207 are


a1 = a - d


a2 = a


a3 = a + d


Clearly a1, a2 and a3 are in AP with common difference as d.


Now, by given condition,


Sum = 207


a1 + a2 + a3 = 207


( a - d ) + a + ( a + d ) = 207


3a = 207


a = 69


Also,


a1a2 = 4623


( a - d )a = 4623


( 69 - d )69 = 4623


69 - d = 67


d = 69 - 67


d = 2


Hence, required three parts are 67, 69, 71.


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