Katy weighs 105 pounds and is gaining 2 pounds a month. James weighs 175 pounds and is losing 3 pounds a

month. When will they weigh the same? How much did. Katy and James weigh?

In 14 months.

133 lbs.

Step-by-step explanation:

Let the number of months before they are the same weight be x, then

105 + 2x = 175 - 3x

2x + 3x = 175 - 105

5x = 70

x = 14 months.

Their weight at this time Katy's will be 105 + 14 (2) = 133 lbs.

Checking using James' weight:

175 - 3 (14) = 175 - 42 = 133 pounds.

Answer: it will take 14 months for their weights to be the same.

Step-by-step explanation:

Let x represent the number of months it will take for their weights to be the same.

Katy weighs 105 pounds and is gaining 2 pounds a month. This means that the total weight of Katy after x months is

2x + 105

James weighs 175 pounds and is losing 3 pounds a

month. This means that the total weight of James after x months is

175 - 3x

For their weights to be the same, it means that

2x + 105 = 175 - 3x

3x + 2x = 175 - 105

5x = 70

x = 70/5

x = 14