High School

Which equation could be used to solve this problem?

The sum of two consecutive integers is 141. Find the integers.

A. \( n + 1 = 141 \)
B. \( 2n + 2 = 141 \)
C. \( 2n = 141 \)
D. \( 2n + 1 = 141 \)

Answer :

The appropriate equation to find two consecutive integers whose sum is 141 is D. 2n + 1 = 141. This equation allows you to solve for the first integer n, and then, by adding 1, find the second integer.

To solve the problem where the sum of two consecutive integers is 141, we can let the first integer be n and the second integer then would be n + 1 (since they are consecutive). The equation representing their sum would thus be:

n + (n + 1) = 141

Which simplifies to:

2n + 1 = 141

This matches option D. The steps to solve the equation would include subtracting 1 from both sides to get 2n = 140, and then dividing both sides by 2 to find n.

D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71