Question

Mike and Tom are trying to make weight for wrestling. Mike weighs 200 lbs and is

losing 2 Lbs a week. Tom weighs 160 lbs and is gaining 3 pounds a week. How many
weeks will both boys weigh the same?

Answer 1

After 8 weeks, both boys weigh same.

Explanation:

Forming the equation,

→ 200 - 2x = 160 + 3x

Now the value of x will be,

→ 200 - 2x = 160 + 3x

→ -2x - 3x = 160 - 200

→ -5x = -40

→ x = -40/-5

→ x = 40/5

→ [ x = 8 weeks ]

Hence, the value of x is 8.

Answer 2

• 8 weeks

Explanation:

Let the number of weeks be x after which both boys have same weight.

Mike's weight after x weeks:

• 200 - 2x

Tom's weight after x weeks:

• 160 + 3x

Equate both expressions and solve for x:

• 200 - 2x = 160 + 3x
• 3x + 2x = 200 - 160
• 5x = 40
• x = 8