Question : Directions: Which of the following interchanges in two mathematical operators will balance the equation given below?
85 – 28 × 3 + 114 ÷ 6 = 150
Option 1: + and ×
Option 2: – and ÷
Option 3: ÷ and ×
Option 4: + and –
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Correct Answer: + and –
Solution :
Given:
85 – 28 × 3 + 114 ÷ 6 = 150
Let's check each option –
First option:
+ and ×
85 – 28 + 3 × 114 ÷ 6 = 150
= 85 – 28 + 3 × 19
= 85 – 28 + 57
114 ≠ 150
Second option:
– and ÷
85 ÷ 28 × 3 + 114 – 6 = 150
= 3.035 × 3 + 114 – 6
= 9.105 + 114 – 6
117.105 ≠ 150
Third option:
÷ and ×
85 – 28 ÷ 3 + 114 × 6 = 150
= 85 – 9.3 + 114 × 6
= 85 – 9.3 + 684
759.7 ≠ 150
Fourth option:
+ and –
85 + 28 × 3 – 114 ÷ 6 = 150
= 85 + 28 × 3 – 19
= 85 + 84 – 19
= 150
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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