Question

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

Answer 1

Let ( a - d ) , a , ( a + d ) are three parts are in A.P.

According to the problem given ,

a - d + a + a + d = 207

3a = 207

a = $\frac{207}{3}$

a = 69

Product of two smaller parts = 4623

( a - d ) $\times$ a = 4623

( 69 - d ) $\times$ 69 = 4623

69 - d = $\frac{4623}{69}$

69 - d = $\frac{1541}{23}$

69 - d = 67

d = 2

Therefore, required three parts are:
a - d = 69 - 2 = 67
a = 69
a + d = 69 + 2 = 71