Q9 of 69 Page 78

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

Let 3 parts of 207 be a – d, a, a + d such that,

⇒ (a – d) + a + (a + d) = 207


⇒ 3a = 207



Since, product of two smaller terms is 4623


⇒ (a – d) × a = 4623


⇒ (69 – d) × 69 = 4623



⇒ d = 69 – 67 = 2


Thus, a – d = 69 – 2 = 67


a = 69


a + d = 69 + 2 = 71


Thus, the A.P so formed is 67, 69, 71


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