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Question

Divide 207 in three parts, such that all parts are in A.P. and product of two smaller parts will be 4623.

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Solution

Let the three numbers be a – d, a and a + d.

According to the question,
a-d+a+a+d=2073a=207a=69

Also,
a-da=462369-d69=462369-d=46236969-d=6769-67=dd=2

Hence, the three numbers are 67, 69 and 71.

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