Question

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

Answer 1

Hello,

Explanation:

Since the three parts are in AP,

the parts are a,a+r,a+2r

a+a+r+a+2r=207

3a+3r=207

a+r=69

The product of the two smaller parts is 4623​:

a*(a+r)=4623

a*69=4623

a=67

r=69-a=69-37

r=2

The 3 parts are 67,69,71

Proof:

67+69+71=207

67*69=4623