Question

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

Answer 1

# if helpful mark it brainliest#

Answer 2

Answer:

The numbers are 71, 67 and 69.

Step-by-step explanation:

Let the three numbers be a - d, a , a + d

Given to us:

The sum of the three numbers = 207

Product of the smaller parts = 4623

Sum of the numbers:

a - d + a + a + d = 207

3a = 207

a = 207 / 3

a = 69

Multiplying the two smaller parts:

(a-d) (a) = 4623

Substituting the value of a which is obtained,

(69 - d) (69) = 4623

(69 - d) = 4623 / 69

69 - d = 67

∴ d = 69 - 67 = 2

The numbers are as follows:

a + d = 69 + 2 = 71

a - d = 69 - 2 = 67

a = 69

Therefore, the numbers are:

71, 67 and 69