Certainly! Let's solve this step-by-step.
1. Understanding the problem:
- The total number of goals scored in the football match is 12.
- India scores 4 more goals than Argentina.
2. Variables:
- Let the number of goals scored by Argentina be [tex]\( x \)[/tex].
- Therefore, the number of goals scored by India will be [tex]\( x + 4 \)[/tex].
3. Setting up the equation:
- Since the total number of goals scored is the sum of the goals scored by both teams, we can write the equation as:
[tex]\[ x + (x + 4) = 12 \][/tex]
4. Solving the equation:
- Combine like terms:
[tex]\[ 2x + 4 = 12 \][/tex]
- Subtract 4 from both sides to isolate the terms with [tex]\( x \)[/tex]:
[tex]\[ 2x = 8 \][/tex]
- Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = 4 \][/tex]
5. Interpreting the result:
- The number of goals scored by Argentina is [tex]\( x \)[/tex], which we found to be 4.
- The number of goals scored by India would then be [tex]\( x + 4 \)[/tex], which is [tex]\( 4 + 4 = 8 \)[/tex].
Therefore, the goals scored by each country are:
- Argentina: 4 goals
- India: 8 goals
