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?

Question

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?

Answer 1

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+12-17+2X+24-34 = 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.

Answer 2

Thank You Henry

Answer 3

Let's assign variables to represent the number of puzzles solved by each person:

Let T = number of puzzles solved by Tim
Then Sam = T + 12 (since Sam solved twelve more than Tim)
Randy = Sam - 17 (since Randy solved seventeen less than Sam)
Will = 2 * Randy (since Will solved twice as many as Randy)

And the total number of puzzles solved is 267:
T + (T + 12) + (T + 12 - 17) + 2 * (T + 12 - 17) = 267

Simplifying the equation:
T + T + 12 + T + 12 - 17 + 2T + 24 - 34 = 267
5T + 7 = 267
5T = 260
T = 52

Now we can find the number of puzzles solved by each person:

Tim = T = 52
Sam = T + 12 = 52 + 12 = 64
Randy = Sam - 17 = 64 - 17 = 47
Will = 2 * Randy = 2 * 47 = 94

So, Tim solved 52 puzzles, Sam solved 64 puzzles, Randy solved 47 puzzles, and Will solved 94 puzzles.

Answer 4

To solve this problem, we can represent the number of puzzles each person solved as variables:

Let's assume:
Tim = T
Sam = T + 12 (as Sam solved twelve more than Tim)
Randy = T + 12 - 17 = T - 5 (as Randy solved seventeen less than Sam)
Will = 2 * (T - 5) = 2T - 10 (as Will solved twice as many as Randy)

We know that the total number of problems solved is 267, so we can create an equation:

T + (T + 12) + (T - 5) + (2T - 10) = 267

Simplifying this equation, we get:

5T - 3 = 267

Adding 3 to both sides:

5T = 270

Dividing both sides by 5:

T = 54

Now that we know Tim solved 54 puzzles, we can substitute this value back into our original equations to find the number of puzzles solved by each person:

Tim = 54
Sam = 54 + 12 = 66
Randy = 54 - 5 = 49
Will = 2 * 49 - 10 = 88

So, Tim solved 54 puzzles, Sam solved 66 puzzles, Randy solved 49 puzzles, and Will solved 88 puzzles.