Question

Divide 207 in three parts, such that all parts are A.P. and product of two small parts will be 4623.

Answer 1

Le the number are $x-y,x,x+y$

Given $x-y+x+x+y=207$

$\Rightarrow 3x=207$

$\Rightarrow x=69$

Given Product of two small parts $=4623$

$(69-y)\left(69\right)=4623$

$\Rightarrow 69-y=67$

$\Rightarrow 2=y$

$\therefore$ The number are $67,69,71$