Question

Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.
then the numbers are 67, 69, 71

• A. True
• B. False

Answer 1

The correct option is A True

Let the numbers be $(a-d),a,(a+d)$. Then,
Sum $=207\Rightarrow (a-d)+a+(a+d)=207\Rightarrow 3a=207\Rightarrow a=69$
Product of two smaller parts $=4623$

$\Rightarrow a(a-d)=4623\Rightarrow 69(69-d)=4623\Rightarrow 69-d=67\Rightarrow d=2$
Thus the numbers are $(69-2),69,(69+2)$

i.e. $67,69,71$