What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged? 25 ÷ 5 – 918 × 9 + 4 = ?
Solving the Equation with Interchanged Operators
The problem asks us to find the value of the expression after interchanging specific mathematical operators. The original equation is:
25 ÷ 5 – 918 × 9 + 4 = ?
We are given the following rules for interchanging operators:
- The '+' sign is interchanged with the '–' sign.
- The '×' sign is interchanged with the '÷' sign.
Applying Operator Interchanges
Let's apply these interchanges to the original equation. We replace each operator according to the rules:
- '÷' becomes '×'
- '–' becomes '+'
- '×' becomes '÷'
- '+' becomes '–'
So, the equation transforms from 25 ÷ 5 – 918 × 9 + 4 to:
25 × 5 + 918 ÷ 9 – 4 = ?
Evaluating the New Equation
Now, we need to solve the new equation using the standard order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).
The equation is: 25 × 5 + 918 ÷ 9 – 4
- Multiplication and Division (from left to right):
- First, perform the multiplication:
25 × 5 = 125 - Next, perform the division:
918 ÷ 9 = 102
125 + 102 – 4 - First, perform the multiplication:
- Addition and Subtraction (from left to right):
- Perform the addition:
125 + 102 = 227 - Perform the subtraction:
227 – 4 = 223
- Perform the addition:
Therefore, the value that comes in place of the question mark (?) is 223.
Final Result
After interchanging the operators '+' with '–' and '×' with '÷', the equation becomes 25 × 5 + 918 ÷ 9 – 4, and its value is 223.
Similar Questions
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?
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Which two numbers (not individual digits) should be interchanged to make the given equation correct?
$21 \times 5 - 35 + (42 \div 7) + 28 = 96$Which two signs need to be interchanged to make the following equation correct?
$56 \div 28 - 72 + 18 \times 6 = 60$
Important Questions from Bodmas Rule
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
What will come in place of the question mark ‘?’ in the following question?
(44 of 15) – [(450 × 240 ÷ 60 – 40) ÷ 80 × 25 + 50] – 10 = ?Simplify: 92 - 18 ( 9 + 36 ÷ 3 × 12 - 27 × 3) + 51
Simplify the following expression.
\(\rm \frac{3}{5}\ of\ \left\{\left(48\div\overline{36\div9}\times\frac{1}{6}\right)+\frac{1}{3}\right\}=?\)
