Question

Linda has a total of 225 on 3 tests. The sum of the scores on the first and second tests exceeds her third score by 61. Her first test exceeds her second by 6 points. Find Linda's 3 test scores.

Answer 1

Let the scores be x, y, z.

Solve the three simultaneous equations:
x + y + z = 225
x + y = z + 61
x = y + 6

Start by substitution: x=y+6
2 y + z = 219
2 y = z + 55

et cetera...