find the largest of three positive numbers so that when they are added in pairs, the sums are 23,24,25 respectively
Answer (1)
Answer:Here's how to solve this problem: Let's represent the three numbers: - Let 'a' be the smallest number- Let 'b' be the middle number- Let 'c' be the largest number Set up the equations based on the given information: - a + b = 23- a + c = 24- b + c = 25 Solve for the variables: 1. Isolate 'a' in the first equation:a = 23 - b2. Substitute this value of 'a' into the second equation:(23 - b) + c = 24c - b = 13. Isolate 'b' in the third equation:b = 25 - c4. Substitute this value of 'b' into the equation 'c - b = 1':c - (25 - c) = 12c - 25 = 12c = 26c = 13 Therefore, the largest number (c) is 13.
