What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and also 'x' and '÷' are interchanged? 9 ÷ 145 x 29 - 75+13=?
Solving the Operator Interchange Equation
The problem asks us to find the value of the expression 9 ÷ 145 x 29 - 75 + 13 = ? after performing specific interchanges of arithmetic operators.
Understanding the Operator Interchange
The rules for interchange are:
- '+' is interchanged with '-'
- 'x' is interchanged with '÷'
Applying the Operator Changes
Let's apply these interchanges to the original equation:
Original equation: 9 ÷ 145 x 29 - 75 + 13
Applying the rules:
- Replace '÷' with 'x'
- Replace 'x' with '÷'
- Replace '-' with '+'
- Replace '+' with '-'
The modified equation becomes: 9 x 145 ÷ 29 + 75 - 13
Solving the Modified Equation Step-by-Step
We need to solve the new equation 9 x 145 ÷ 29 + 75 - 13 using the standard order of operations (BODMAS/PEMDAS): Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Multiplication: First, perform the multiplication
9 x 145.
Using LaTeX: \( 9 \times 145 = 1305 \) - Division: Next, perform the division
1305 ÷ 29.
Using LaTeX: \( 1305 \div 29 = 45 \)
So, the equation now is:45 + 75 - 13 - Addition: Now, perform the addition
45 + 75.
Using LaTeX: \( 45 + 75 = 120 \)
The equation simplifies to:120 - 13 - Subtraction: Finally, perform the subtraction
120 - 13.
Using LaTeX: \( 120 - 13 = 107 \)
Final Result
After applying the operator interchanges and following the order of operations, the value of the equation is 107.
Therefore, the number that will come in the place of '?' is 107.
Similar Questions
- Which two signs should be interchanged to make the given equation correct? $67 - 84 \div 12 \times 5 + 31 = 71$
What will come in place of the question mark (?) in the following equation if '+' means 'x', 'x' means '-', '-' means '$\div$' and '$\div$' means '+'?
$18 \div 4 + 3 \times 2 - 2 = ?$Which two numbers (not individual digits) should be interchanged to make the given equation correct?
$56+ (11 \times 2) - (52 \div 4) + 16 = 76$What will come in the place of '?' in the following equation, if '+' and '-' are interchanged and also 'x' and '$\div$' are interchanged?
$13 \div 8-96 \times 6+17=?$Which two numbers (not digits of the numbers), from amongst the given options, should be interchanged to make the given equation correct?
$12 \times 9 + 27 \div 3 - 5 = 60$
- Which two signs should be interchanged to make the given equation correct?
$99 \div 33 - 6 + 48 \times 26 = 40$ If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
36 B 17 D 59 C 224 A 7 = ?What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
16 ÷ 6 + 12 × 3 – 6 = ?Which two signs should be interchanged to make the given equation correct?
$152 + 8 \times 16 \div 9 - 4 = 309$
What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and 'x' and '÷' are interchanged?
(28 ÷ 4) - (15 x 3) + 48 = ?
Important Questions from Bodmas Rule
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
DIRECTIONS: What should come in place of the question mark (?) in the following question?
3800 - 22 × 1968 ÷ 48 = ? × 7
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)
