Question : Directions: Which two numbers should be interchanged to make the given equation correct?
63 ÷ 21 – 42 + 8 × 7 = 135
Option 1: 7 and 63
Option 2: 7 and 21
Option 3: 21 and 42
Option 4: 21 and 8
Correct Answer: 7 and 21
Solution :
Given:
63 ÷ 21 – 42 + 8 × 7 = 135
Replace the given numbers in the options one by one with the original numbers in the given equation.
First option:
7 and 63
= 7 ÷ 21 – 42 + 8 × 63
= 0.34 – 42 + 504
= 462.34 ≠ 135
Second option:
7 and 21
= 63 ÷ 7 – 42 + 8 × 21
= 9 – 42 + 168
= 135
Third option:
21 and 42
= 63 ÷ 42 – 21 + 8 × 7
= 1.5 – 21 + 56
= 36.5 ≠ 135
Fourth option:
21 and 8
= 63 ÷ 8 – 42 + 21 × 7
= 7.88 – 42 + 147
= 112.88 ≠ 135
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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