What will come in the place of '?' in the following equation, if '+' and '−' are interchanged and also '×' and '÷' are interchanged?
9÷145×29−75+13=?
- A124
- B107
- C113
- D137
Solution & Step-by-step Explanation
To solve this question, we must substitute the operators as given in the problem statement:
Interchange + and −
Interchange × and ÷
Given original equation:
9÷145×29−75+13=?
After interchanging the operators, the new equation becomes:
9×145÷29+75−13=?
Now, apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction):
Division:
145÷29=5
The equation simplifies to:
9×5+75−13=?
Multiplication:
9×5=45
The equation simplifies to:
45+75−13=?
Addition:
45+75=120
The equation simplifies to:
120−13=?
Subtraction:
120−13=107
Thus, the correct value in place of '?' is 107.
Interchange + and −
Interchange × and ÷
Given original equation:
9÷145×29−75+13=?
After interchanging the operators, the new equation becomes:
9×145÷29+75−13=?
Now, apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction):
Division:
145÷29=5
The equation simplifies to:
9×5+75−13=?
Multiplication:
9×5=45
The equation simplifies to:
45+75−13=?
Addition:
45+75=120
The equation simplifies to:
120−13=?
Subtraction:
120−13=107
Thus, the correct value in place of '?' is 107.