The sum of three consecutive even numbers is 126. What is the product of the smallest and the largest numbers?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1760.
Let the three consecutive even numbers be x, x + 2, and x + 4
x + (x + 2) + (x + 4) = 126
⇒ 3x + 6 = 126
⇒ 3x = 120
⇒ x = 40
⇒ x + 4 = 40 + 4 = 44
Product = 40 × 44 = 1760
Hence, the product of the smallest and the largest numbers is 1760.