65 × 5 − 19 ÷ 3 + 25 = ?
Solving Equation with Operator Interchange
The problem requires solving the equation $65 \times 5 - 19 \div 3 + 25 = ?$ after interchanging specific arithmetic operators.
Operator Interchange Rule
The given rules for interchanging operators are:
- '+' is interchanged with '−'
- '−' is interchanged with '+'
- '×' is interchanged with '÷'
- '÷' is interchanged with '×'
Applying the Interchange
Applying these rules to the original equation:
Original Equation: $65 \times 5 - 19 \div 3 + 25 = ? $
After interchange: $65 \div 5 + 19 \times 3 - 25 = ? $
Solving the New Equation
Now, solve the new equation using the standard order of operations (BODMAS/PEMDAS: Brackets, Orders, Division/Multiplication, Addition/Subtraction).
- Division: Perform $65 \div 5$.
$65 \div 5 = 13$
- Multiplication: Perform $19 \times 3$.
$19 \times 3 = 57$
- The equation now becomes: $13 + 57 - 25$.
- Addition: Perform $13 + 57$.
$13 + 57 = 70$
- Subtraction: Perform $70 - 25$.
$70 - 25 = 45$
Thus, the value that comes in place of the question mark is 45.
Similar Questions
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Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?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?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
