Final answer:
To find the larger of two consecutive even numbers, assume the smaller number is x. Use the given equation 2x + (x+2) = 122 to solve for x. Add 2 to the value of x to find the larger number.
Step-by-step explanation:
Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive numbers,themean and the median are Equal. If n is a number, then n, n+1, and n+2 would be consecutive numbers Examples. 1, 2, 3, 4, 5.
For example, the numbers 3, 5, 7, 9, and 11 are called consecutive odd numbers because the difference between any predecessor-successor pair is 2, like, 5 - 3 = 2 and 7 - 5 = 2.
To find the larger of the two consecutive even numbers, let's assume the smaller number is x. The larger number would then be x+2, as it is the next even number.
According to the given information, twice the first number plus the second number is equal to 122. So the equation would be: 2x + (x+2) = 122. Solve this equation to find the value of x.
Once you have found the value of x, add 2 to it to find the larger number.
By solving the equation, we find x = 30. Therefore, the larger number would be 30 + 2 = 32 (Option B).