What will come in the place of the question mark (?) in the following equation, if '÷' and '-' are interchanged and '×' and '+' are interchanged?
[(48−2)÷23]×19+3=?
- A38
- B68
- C48
- D58
Solution & Step-by-step Explanation
Given expression:
[(48−2)÷23]×19+3=?
Interchanging the signs as specified:
÷↔−
×↔+
The modified equation becomes:
[(48÷2)−23]+19×3=?
Solving using the BODMAS rule:
Solve inside the innermost bracket:
48÷2=24
So, the expression becomes:
[24−23]+19×3=?
Solve the square bracket:
24−23=1
The equation is now:
1+19×3=?
Perform multiplication:
19×3=57
Perform addition:
1+57=58
Therefore, the correct answer is 58.
[(48−2)÷23]×19+3=?
Interchanging the signs as specified:
÷↔−
×↔+
The modified equation becomes:
[(48÷2)−23]+19×3=?
Solving using the BODMAS rule:
Solve inside the innermost bracket:
48÷2=24
So, the expression becomes:
[24−23]+19×3=?
Solve the square bracket:
24−23=1
The equation is now:
1+19×3=?
Perform multiplication:
19×3=57
Perform addition:
1+57=58
Therefore, the correct answer is 58.