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Solve for A, B, and C using the given equations and find the value of A + B + C.

May 6, 2026Mathematics

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Answer

47

4 steps

Here's how to solve the puzzle:

Solve for $A$ using the first equation.
$A + A + A = 66$ $3A = 66$ $A = \frac{66}{3}$ $A = 22$
Substitute the value of $A$ into the second equation to solve for $C$ .
$A + C = 37$ $22 + C = 37$ $C = 37 - 22$ $C = 15$
Substitute the value of $C$ into the third equation to solve for $B$ .
$C - B = 5$ $15 - B = 5$ $B = 15 - 5$ $B = 10$
Substitute the values of $A$ , $B$ , and $C$ into the fourth expression.
$A + B + C = ?$ $22 + 10 + 15 = 47$
The final answer is 47.

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