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## 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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Sol.    Let the 3 parts which are in A. P.
∴       be a – d, a, a + d
According to condition (I),
(a – d) + a + (a + d)  =  207
a – d + a + a + d  = 207
3a = 207

a = $207\over3$

a = 69
According to condition (II)
(a – d) (a) = 4623
(69 – d)69 = 4623

69 – d = $4623\over 69$

69 – d = 67
d = 2
The three parts are,
(a – d) = 69 –2 = 67,
a = 69
(a + d) = 69 + 2 = 71

∴        The three parts are 67, 69, 71

Arithmetic Progression September 28 , 2018 0 Comments 20 views