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Which two numbers should be interchanged to make the given equation correct? 56+18тИТ11├Ч3+4├Ч(66├╖2)+22=151 (Note: Interchange should be done of entire number and not individual digits of a given number.)
3 and 2
11 and 22
18 and 11
56 and 66
11 and 22
Test options by substituting numbers directly into the expression. Focus on division and multiplication terms first to check for divisibility.
Test options by substituting numbers directly into the expression. Focus on division and multiplication terms first to check for divisibility.
Analyze the Given Equation
The original equation is 56 + 18 - 11 x 3 + 4 x (66 / 2) + 22 = 151.
Test Option B (Interchange 11 and 22)
Substitute 11 with 22 and 22 with 11 to get: 56 + 18 - 22 x 3 + 4 x (66 / 2) + 11 = 151.
Evaluate LHS using BODMAS
Bracket: (66 / 2) = 33. Multiplication: 22 x 3 = 66, and 4 x 33 = 132. Addition & Subtraction: 56 + 18 - 66 + 132 + 11 = 74 - 66 + 132 + 11 = 8 + 132 + 11 = 151.
A: Interchanging 3 and 2 gives an incorrect value. C: Interchanging 18 and 11 does not balance the equation. D: Interchanging 56 and 66 yields an incorrect result.
B is correct because interchanging the numbers 11 and 22 makes the Left Hand Side equal to 151, matching the Right Hand Side.
When testing options for number interchange, always prioritize examining terms with multiplication and division to quickly estimate whether the result scales correctly.
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