Question

split 207 into 3 parts such that these are in ap and the product of the two smaller part is 4623

Answer 1

hope it would be helpful

Answer 2

Let the three terms of AP be a-d, a, a+d

According to question,

a – d + a + a + d = 207,

3a = 207

$a=\frac{207}{3}=69$

a = 69

Also, it is given in the question, that, $x \times 69=4693$

$\begin{array}{l}{\Rightarrow x=\frac{4623}{69}} \\ \\{\Rightarrow x=67}\end{array}$

Now, d = 69-67 = 2.

Therefore the three terms are:  

69-2, 69, 69+2  

= 67, 69, 71

Arithmetic progression is a sequence of numbers and the difference between the “consecutive terms” is constant. Here difference means minus the first number from second number.