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If the mathermatical operators -,+xxandd...

If the mathermatical operators `-,+xxanddiv` are represented by A,B,C and D respectively ,then find the value of 9 B 20 C 12 D 6 A 5 .

A

40

B

49

C

57

D

41

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 9B20C12D6A5 \) where the operators are represented as follows: - A = minus (-) - B = plus (+) - C = multiply (×) - D = divide (÷) We can rewrite the expression using standard mathematical operators: \[ 9 + 20 \times 12 \div 6 - 5 \] Now, we will follow the order of operations, commonly known as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Identify the operations**: The expression consists of addition, multiplication, division, and subtraction. 2. **Perform Division and Multiplication first**: - Calculate \( 20 \times 12 \): \[ 20 \times 12 = 240 \] - Now replace \( 20C12 \) with \( 240 \): \[ 9 + 240 \div 6 - 5 \] - Next, calculate \( 240 \div 6 \): \[ 240 \div 6 = 40 \] - Now replace \( 240D6 \) with \( 40 \): \[ 9 + 40 - 5 \] 3. **Perform Addition and Subtraction**: - First, calculate \( 9 + 40 \): \[ 9 + 40 = 49 \] - Now replace \( 9 + 40 \) with \( 49 \): \[ 49 - 5 \] - Finally, calculate \( 49 - 5 \): \[ 49 - 5 = 44 \] Thus, the final answer is: \[ \boxed{44} \]
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