We are tasked with solving the system of equations to find the value of \( A + B + C \). Let's proceed step by step.
Step 1: Analyze the given equations
The equations provided are:
1. \( A + A + A = 39 \)
2. \( B + B - A = 25 \)
3. \( 6 + C + B = 50 \)
4. \( A + B + C = ? \)
Step 2: Solve for \( A \) from the first equation
The first equation is:
\[
A + A + A = 39
\]
This simplifies to:
\[
3A = 39
\]
Divide both sides by 3:
\[
A = 13
\]
Step 3: Solve for \( B \) using the second equation
The second equation is:
\[
B + B - A = 25
\]
Substitute \( A = 13 \) into the equation:
\[
B + B - 13 = 25
\]
Simplify:
\[
2B - 13 = 25
\]
Add 13 to both sides:
\[
2B = 38
\]
Divide both sides by 2:
\[
B = 19
\]
Step 4: Solve for \( C \) using the third equation
The third equation is:
\[
6 + C + B = 50
\]
Substitute \( B = 19 \) into the equation:
\[
6 + C + 19 = 50
\]
Simplify:
\[
25 + C = 50
\]
Subtract 25 from both sides:
\[
C = 25
\]
Step 5: Calculate \( A + B + C \)
Now that we have \( A = 13 \), \( B = 19 \), and \( C = 25 \), we can find \( A + B + C \):
\[
A + B + C = 13 + 19 + 25
\]
Add the values:
\[
A + B + C = 57
\]
Final Answer:
\[
\boxed{57}
\]
Parent Tip: Review the logic above to help your child master the concept of riddle math.
