So I've gotten 3 different answers on my question "Mark is 15 years younger than Ashley. The sum if their ages is 55. Write a system of equations to determine Mark (M) age and Ashley (A) age" and I just want another opinion on how to write both equation and how to solve them please! The answer I got most recently was "A-M=55 and A-15=55" which sounds right but I don't know how I'd solve for Ashley or Marks age
the sum of their ages is 55. that means that A + M = 55 Mark is 15 years younger/Ashley is 15 years older. that means that M + 15 = A and, conversely, A - 15 = M remove 15 from the 55 to get 40, divide that by 2 (for the two people) and get 20. M = 20 and A = 20 + 15 = 35
you can plug these in to check: 20 + 35 = 55, and 35 is 15 more than 20