Question

Team A and team B play in a competition Team A has 12 more points than team B Team A has twice as many points as team B How many points does each team have

Answer 1

In a problem where Team A has twice as many points as Team B and 12 more points, Team A has 24 points, and Team B has 12 points after solving the algebraic equation '2b = b + 12'.

Step-by-step explanation:

The problem states that Team A has 12 more points than Team B and that Team A has twice as many points as Team B. To solve this problem, we can use algebra. Let's define the number of points Team B has as 'b'. According to the problem, Team A has 'b + 12' points and also '2b' points since Team A has twice as many points as Team B.

We set these two expressions equal to each other because they both represent Team A's points:

2b = b + 12

To find the value of 'b', we solve the equation:

2b - b = 12

b = 12

Now we know that Team B has 12 points. To find Team A's points, we simply multiply Team B's points by 2:

2 × 12 = 24

Therefore, Team A has 24 points, and Team B has 12 points.