Question : Directions: Which two signs need to be changed to make the following equation correct?
64 – 8 ÷ 3 + 7 × 5 = 40
Option 1: × and +
Option 2: × and ÷
Option 3: ÷ and –
Option 4: ÷ and +
Correct Answer: ÷ and –
Solution :
Given:
64 – 8 ÷ 3 + 7 × 5 = 40
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
× and +
= 64 – 8 ÷ 3 × 7 + 5
= 64 – 18.67 + 5
= 50.33 ≠ 40
Second option:
× and ÷
= 64 – 8 × 3 + 7 ÷ 5
= 64 – 24 + 1.4
= 41.4 ≠ 40
Third option:
÷ and –
= 64 ÷ 8 – 3 + 7 × 5
= 8 – 3 + 35
= 40
Fourth option:
÷ and +
= 64 – 8 + 3 ÷ 7 × 5
= 64 – 8 + 2.14
= 58.14 ≠ 40
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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