Question

Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.

Answer 1

Let the three parts of the number 207 are (a – d), a and (a + d), which are in AP.

Now, by given condition,

⇒ Sum of these parts = 207

⇒ a – d + a + a + d = 207

⇒ 3a = 207

a = 69

Given that,

Product of the two smaller parts = 4623

⇒ a(a – d) = 4623

⇒ 69 . (69 – d) = 4623

⇒ 69 – d = 67

⇒ d = 69 – 67 = 2

So, first part = a – d = 69 – 2 = 67,

Second part = a = 69

And third part = a + d = 69 + 2 = 71

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