Question : Directions: Which two mathematical operations should be interchanged to balance the following equation?
19 – 39 × 3 + 25 ÷ 5 = 131
Option 1: + and ÷
Option 2: ÷ and ×
Option 3: – and ÷
Option 4: + and ×
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Correct Answer: ÷ and ×
Solution :
Given:
19 – 39 × 3 + 25 ÷ 5 = 131
Let's check the options –
First option:
+ and ÷
= 19 – 39 × 3 ÷ 25 + 5
= 19 – 39 × 0.12 + 5
= 19 – 4.68 + 5
= 24 – 4.68
= 19.32 ≠ 131
Second option:
÷ and ×
= 19 – 39 ÷ 3 + 25 × 5
= 19 – 13 + 25 × 5
= 19 – 13 + 125
= 144 – 13
= 131
Third option:
– and ÷
= 19 ÷ 39 × 3 + 25 – 5
= 0.49 × 3 + 25 – 5
= 1.47 + 25 – 5
= 26.47 – 5
= 21.47 ≠ 131
Fourth option:
+ and ×
= 19 – 39 + 3 × 25 ÷ 5
= 19 – 39 + 3 × 5
= 19 – 39 + 15
= 34 – 39
= –5 ≠ 131
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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