Find the ages of three students: Student A, B, and C, when given the following information. The sum of the ages of the students A and B is 41, the sum of the ages of the students B and C is 39, and th

Question

Find the ages of three students: Student A, B, and C, when given the following information. The sum of the ages of the students A and B is 41, the sum of the ages of the students B and C is 39, and the sum of the ages of the students A and C is 44. How old is each of the three students? Explain your reasoning.

Answer 1

A+B = 41

B+C = 39

A+C = 44

A-C =41-39= 2

A+C =44

2A = 46

A =46/2 = 23 years old

C = 44-23 = 21 years old

A+B =41

B = 41-23 = 18 years old