Question

The sum of three consecutive integers is equal to $192$. What is the product of these numbers?

• A. $216000$
• B. $7077888$
• C. $576$
• D. $110592$
• E. $262080$

Answer 1

The correct option is E $262080$

To get the three consecutive numbers whose sum is $192$, we get the equation as,
$x+(x+1)+(x+2)=192$
$3x+3=192$
$3x=192-3$ $=189$
$x=\frac{189}{3}$
$x=63$
So the first number out of the three consecutive numbers is $63$,
The three numbers are $63,64$ and $65$.
The product of these numbers is,
$63\times 64\times 65=262080$
Hence the correct answer is option E, the number $262080$
Ans: E