316 - 2 ÷ 37 + 436 × 4 = ?
The problem requires substituting mathematical operators based on given rules and then solving the resulting equation.
Operator Substitution Rules
The given substitution rules are:
- '+' means '-'
- '-' means '×'
- '×' means '÷'
- '÷' means '+'
Equation Transformation
The original equation is:
$316 - 2 ÷ 37 + 436 × 4 = ?$
Applying the substitution rules to the equation:
- Replace '-' with '×'
- Replace '÷' with '+'
- Replace '+' with '-'
- Replace '×' with '÷'
The transformed equation becomes:
$316 × 2 + 37 - 436 ÷ 4 = ?$
Solving the Transformed Equation
To solve the transformed equation, we follow the standard order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Division: Calculate $436 ÷ 4$. $ 436 \div 4 = 109 $
- Multiplication: Calculate $316 × 2$. $ 316 \times 2 = 632 $
- The equation now is: $ 632 + 37 - 109 $
- Addition: Calculate $632 + 37$. $ 632 + 37 = 669 $
- Subtraction: Calculate $669 - 109$. $ 669 - 109 = 560 $
Therefore, the value of the expression is 560.
Important Questions from Maths Operations
- If 37 D 18 E 84 F 21 = 51 and 57 D 28 E 90 F 15 = 79, then 14 D 17 E 8 F 4 = ?
- This question is based on the five, three-digit numbers given below.
(Left) 194 582 419 149 825 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number? - If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4813576, what will be the difference between the highest and the lowest digits in the number thus formed?
- If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 21673458, what will be the product of the greatest and smallest digit in the new number thus formed?
- 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?
18 A 2 B 5 C 7 D 9 = ?
