Algebra
posted by David on .
Randy, Sam, Tim and Will counted the number of puzzles they had solved in two months. Sam has solved twelve more than Tim. Randy had solved seventeen less than Sam.Will had solved twice as many as Randy. They have solved a total of 267 problems. How many puzzles did each person solve?

Tim: X Puzzles.
Sam: X + 12.
Randy: (x + 12)  17
Will: 2((x + 12)  17).
x+(x+12)+((x+12)17)+2((X+12)17)= 267,
X+X+12+X+1217+2X+2434 = 267,
5X  3 = 267
5X = 270
X = 54
X + 12 = 66
((X + 12)  17) = 49
2((X + 12)  17) = 98.
TOTAL = 54 + 66 + 49 + 98 = 267. 
Thank You Henry