# Split 69 into 3 parts such that they are in arithmetic progression and a product of two smaller parts is 483.

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Split 69 into 3 parts such that they are in arithmetic progression and a product of two smaller parts is 483.
posted Dec 20, 2016

Factorising 483 gives us 23, 7 and 3 as factors. From this we can see that 23 and (3×7) 21 are also factors.
Now by adding these 2 numbers and subtracting it with 69 gives us 25.
So the number 69 can be split into 21 + 23 + 25 which are in arithmetic progression with 2 as common difference.

21 , 23 , 25

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1) 1/2
2) 1
3) 3/2
4) 2
5) 5/2
6) 5/3
7) 5/4
8) 7/6
9) 6/13
10) 3/16