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Which two numbers should be interchanged to make the given equation correct? (27+15)├Ч2тИТ(95├╖5)+25├Ч4тИТ135=62 (Note: Interchange should be done of entire number and not individual digits of a given number.)
2 and 4
25 and 27
95 and 135
5 and 15
95 and 135
Test options by substituting the numbers and evaluating using BODMAS. Focus first on numbers involved in division.
Test options by substituting the numbers and evaluating using BODMAS. Focus first on numbers involved in division.
Analyze the Given Equation
The original equation is (27 + 15) * 2 - (95 / 5) + 25 * 4 - 135 = 62. We need to find which pair of numbers when interchanged makes the LHS equal to RHS (62).
Test Option C (95 and 135)
Interchange 95 and 135 in the equation: (27 + 15) * 2 - (135 / 5) + 25 * 4 - 95 = 62.
Apply BODMAS Rule
First calculate brackets and division/multiplication: (27 + 15) = 42; 42 * 2 = 84; (135 / 5) = 27; 25 * 4 = 100.
Final Arithmetic Evaluation
Substitute values: 84 - 27 + 100 - 95 = 57 + 100 - 95 = 157 - 95 = 62. LHS equals RHS, so Option C is correct.
A: Interchanging 2 and 4 results in a value different from 62. B: Interchanging 25 and 27 results in a value different from 62. D: Interchanging 5 and 15 results in a value different from 62.
C is correct because interchanging 95 and 135 satisfies the equation and yields the correct RHS of 62.
In number interchange questions involving division, always prioritize testing pairs that preserve exact divisibility.
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