If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
36 B 17 D 59 C 224 A 7 = ?
Solving the Symbol Substitution Equation
This problem requires us to decode a mathematical equation where letters represent arithmetic operators. We need to substitute the given letters with their corresponding symbols and then solve the equation using the standard order of operations (BODMAS/PEMDAS).
Understanding the Symbol Substitutions
The problem provides the following mapping:
- 'A' represents '÷' (division)
- 'B' represents '×' (multiplication)
- 'C' represents '+' (addition)
- 'D' represents '−' (subtraction)
Applying Substitutions to the Equation
The given equation is: 36 B 17 D 59 C 224 A 7 = ?
Substituting the symbols based on the provided key, we get:
36 × 17 - 59 + 224 ÷ 7 = ?
Calculating the Result using Order of Operations (BODMAS/PEMDAS)
The BODMAS/PEMDAS rule dictates the order in which operations should be performed: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Division: First, calculate
224 ÷ 7.$$ 224 \div 7 = 32 $$
The equation now becomes:
36 × 17 - 59 + 32 = ? - Multiplication: Next, calculate
36 × 17.$$ 36 \times 17 = 612 $$
The equation now becomes:
612 - 59 + 32 = ? - Subtraction: Perform subtraction from left to right. Calculate
612 - 59.$$ 612 - 59 = 553 $$
The equation now becomes:
553 + 32 = ? - Addition: Finally, perform addition. Calculate
553 + 32.$$ 553 + 32 = 585 $$
Final Result
Therefore, the value that comes in place of the question mark (?) is 585.
Similar Questions
Which two signs should be interchanged to make the given equation correct?
$36+8 \times 184-23\div10 = 90$Which two signs should be interchanged to make the given equation correct?
$152 + 8 \times 16 \div 9 - 4 = 309$
Important Questions from Bodmas Rule
The value of 30 ÷ 6 × 5 of (2 + 3) - 12(3 × 2) is equal to:
solve the following:
523 + 523 × 523 ÷ 523
The value of 96 - 4 of (18 - 13) + 4 × 7 is:
Find the value of 45 - 3 × (4 of 6 + 12 ÷ 3 × 6 - 4 × 5) + 6.
The value of \(\frac{{33}}{{40}} + \frac{1}{5}\left[ {\frac{4}{5} - \frac{1}{5} \times \left( {\frac{7}{8} - \frac{5}{4}} \right)} \right] - \frac{4}{5}\) is:
