Question : Directions: Which of the following interchanges in two mathematical operators will balance the equation given below?
63 – 23 × 132 ÷ 12 + 7 = 117
Option 1: ÷ and ×
Option 2: + and –
Option 3: – and ÷
Option 4: + and ×
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Correct Answer: + and ×
Solution :
Given:
63 – 23 × 132 ÷ 12 + 7 = 117
Let's check the options –
First option:
÷ and ×
63 – 23 ÷ 132 × 12 + 7 = 117
= 63 – 0.174 × 12 + 7
= 63 – 2.088 + 7
= 67.912 ≠ 117
Second option:
+ and –
63 + 23 × 132 ÷ 12 – 7 = 117
= 63 + 23 × 11 – 7
= 63 + 253 – 7
= 309 ≠ 117
Third option:
– and ÷
63 ÷ 23 × 132 – 12 + 7 = 117
= 63 ÷ 23 × 132 – 12 + 7
= 2.74 × 132 – 12 + 7
= 361.68 – 12 + 7
= 356.68 ≠ 117
Fourth option:
+ and ×
63 – 23 + 132 ÷ 12 × 7 = 117
= 63 – 23 + 11 × 7
= 63 – 23 + 77
= 117
So, only the fourth option balances the given equation. Hence, the fourth option is correct.
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