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If a stands for 'add', B stands for 'sub...

If a stands for 'add', B stands for 'subtract' C stands for 'divide' and D stands for 'multiply', then what is the value of
(7 D 3) B 6 A 5 (20 C 20)

A

0

B

10

C

22

D

20

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression given in the question, we need to replace the letters with their respective mathematical operations and then follow the order of operations (BODMAS/BIDMAS). ### Step-by-Step Solution: 1. **Replace the letters with operations:** - A = add (+) - B = subtract (−) - C = divide (÷) - D = multiply (×) Thus, the expression: \[ (7 \, D \, 3) \, B \, 6 \, A \, 5 \, (20 \, C \, 20) \] becomes: \[ (7 \times 3) - 6 + 5 \, (20 \div 20) \] 2. **Calculate the multiplication and division first:** - Calculate \(7 \times 3\): \[ 7 \times 3 = 21 \] - Calculate \(20 \div 20\): \[ 20 \div 20 = 1 \] Now the expression simplifies to: \[ 21 - 6 + 5 \times 1 \] 3. **Now, replace \(5 \times 1\) with its value:** \[ 5 \times 1 = 5 \] The expression now looks like: \[ 21 - 6 + 5 \] 4. **Perform the subtraction and addition from left to right:** - First, calculate \(21 - 6\): \[ 21 - 6 = 15 \] - Then add \(5\): \[ 15 + 5 = 20 \] 5. **Final Result:** The value of the expression is: \[ \boxed{20} \]
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