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Find the value of: (7 xx 6 + 5 - 15) :...

Find the value of:
`(7 xx 6 + 5 - 15) :- 4 + 6 :- 3 - 4 + 18 :- 3`

A

12

B

14

C

16

D

18

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression `(7 x 6 + 5 - 15) ÷ 4 + 6 ÷ 3 - 4 + 18 ÷ 3`, we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Evaluate the expression inside the brackets:** - Calculate \(7 x 6\): \[ 7 x 6 = 42 \] - Now substitute back into the expression: \[ (42 + 5 - 15) ÷ 4 + 6 ÷ 3 - 4 + 18 ÷ 3 \] 2. **Continue simplifying inside the brackets:** - Calculate \(42 + 5\): \[ 42 + 5 = 47 \] - Now, subtract \(15\): \[ 47 - 15 = 32 \] - Substitute back: \[ (32) ÷ 4 + 6 ÷ 3 - 4 + 18 ÷ 3 \] 3. **Perform the divisions:** - Calculate \(32 ÷ 4\): \[ 32 ÷ 4 = 8 \] - Calculate \(6 ÷ 3\): \[ 6 ÷ 3 = 2 \] - Calculate \(18 ÷ 3\): \[ 18 ÷ 3 = 6 \] - Substitute back into the expression: \[ 8 + 2 - 4 + 6 \] 4. **Perform the additions and subtractions from left to right:** - Calculate \(8 + 2\): \[ 8 + 2 = 10 \] - Next, subtract \(4\): \[ 10 - 4 = 6 \] - Finally, add \(6\): \[ 6 + 6 = 12 \] Thus, the final value of the expression is: \[ \boxed{12} \]
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