Question
Download Solution PDFWhich two numbers, from amongst the given options, should be interchanged to make the given equation correct?
72 + (7 × 8) - (126 ÷ 14) - (4)2 = 150
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe pattern followed here is:
We have to interchanged the numbers to make the given equation correct.
Given: 72 + (7 × 8) - (126 ÷ 14) - (4)2 = 150
Option 1) 72 and 126
After interchanging the numbers we get the;
⇒ 126 + (7 × 8) - (72 ÷ 14) - (4)2 = 150
⇒ 126 + 56 - 5.14 - 16 = 150
⇒ 182 - 5.14 - 16 = 150
⇒ 160.86 ≠ 150
⇒ LHS ≠ RHS
Option 2) 7 and 4
After interchanging the numbers we get the;
⇒ 72 + (4 × 8) - (126 ÷ 14) - (7)2 = 150
⇒ 72 + 32 - 9 - 49 = 150
⇒ 104 - 9 - 49 = 150
⇒ 46 ≠ 150
⇒ LHS ≠ RHS
Option 3) 8 and 4
After interchanging the numbers we get the;
⇒ 72 + (7 × 4) - (126 ÷ 14) - (8)2 = 150
⇒ 72 + 28 - 9 - 64 = 150
⇒ 100 - 9 - 64 = 150
⇒ 27 ≠ 150
⇒ LHS ≠ RHS
Option 4) 14 and 7
After interchanging the numbers we get the;
⇒ 72 + (14 × 8) - (126 ÷ 7) - (4)2 = 150
⇒ 72 + 112 - 18 - 16 = 150
⇒ 184 - 18 - 16 = 150
⇒ 150 = 150
⇒ LHS = RHS
Hence, the correct answer is "Option 4".
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