Question : Directions: Which of the following interchanges of signs would make the given equation correct?
110 ÷ 20 + 5 × 13 – 9 = 153
Option 1: × and +
Option 2: ÷ and +
Option 3: – and ×
Option 4: + and –
Correct Answer: ÷ and +
Solution :
Given:
110 ÷ 20 + 5 × 13 – 9
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+ and ×
= 110 ÷ 20 × 5 + 13 – 9
= 5.5 × 5 + 13 – 9
= 27.5 + 4
= 31.5 ≠ 153
Second option:
÷ and +
= 110 + 20 ÷ 5 × 13 – 9
= 110 + 4 × 13 – 9
= 110 + 52 – 9
= 153
Third option:
– and ×
= 110 ÷ 20 + 5 – 13 × 9
= 5.5 + 5 – 117
= –106.5
≠ 153
Fourth option:
+ and –
= 110 ÷ 20 – 5 × 13 + 9
= 5.5 – 65 + 9
= 14.5 – 65
= –50.5 ≠ 153
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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