Question
Download Solution PDFThe sum of three consecutive even numbers is 126. What is the product of the smallest and the largest numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sum of three consecutive even numbers is 126.
Formula:
The sum of n consecutive even numbers can be found using the formula: n/2 × (first number + last number)
Calculation:
The sum of three consecutive even numbers is 126, which can be represented as x + (x + 2) + (x + 4) = 126, where x is the smallest of the three numbers.
To find the value of x, we can simplify the equation and solve for x:
3x + 6 = 126
3x = 120
x = 40
Therefore, the smallest of the three numbers is 40, the largest is 40 + 4 = 44, and the product of the smallest and the largest numbers is 40 × 44 = 1760.
Last updated on Jun 26, 2025
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