High School

Abby, Bart, Cindy, and Damon weigh themselves in pairs. Together, Abby and Bart weigh 260 pounds, Bart and Cindy weigh 245 pounds, and Cindy and Damon weigh 270 pounds. How many pounds do Abby and Damon weigh together?

Answer :

To find the combined weight of Abby and Damon, we can use a system of equations. Let's assign variables to each person's weight .

Let A represent Abby's weight. Let B represent Bart's weight. Let C represent Cindy's weight. Let D represent Damon's weight. From the given information, we know the following equations:
A + B = 260 (equation 1)
B + C = 245 (equation 2)
C + D = 270 (equation 3)

To find the combined weight of Abby and Damon, we need to find the values of A and D. We can do this by adding equation 1 and equation 3:
(A + B) + (C + D) = 260 + 270
A + B + C + D = 530


Since we are looking for the combined weight of Abby and Damon, which is A + D, we can rewrite the equation as:
(A + B + C + D) - (B + C) = 530 - 245
A + D = 285 .

Therefore, Abby and Damon weigh 285 pounds together.

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