Which two numbers should be interchanged to make the given equation correct?
13 + 4 ÷ 16 × 5 - 22 = 11
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4 and 16.
Given equation: 13 + 4 ÷ 16 × 5 - 22 = 11
Now, checking all the options,
Option (1) 13 and 22 →
After interchanging the numbers, we get:
⇒ 22 + 4 ÷ 16 × 5 - 13 = 11
⇒ 22 + 0.25 × 5 - 13 = 11
⇒ 22 + 1.25 - 13 = 11
⇒ 23.25 - 13 = 11
⇒ 10.25 ≠ 11
Option (2) 16 and 22 →
After interchanging the numbers we get;
⇒ 13 + 4 ÷ 22 × 5 - 16 = 11
⇒ 13 + 0.90 - 16 = 11
⇒ 13.90 - 16 = 11
⇒ -2.10 ≠ 11
Option (3) 13 and 16 →
After interchanging the numbers we get;
⇒ 16 + 4 ÷ 13 × 5 - 22 = 11
⇒ 16 + 1.54 - 22 = 11
⇒ 17.54 - 22 = 11
⇒ -4.46 ≠ 11
Option (4) 4 and 16 →
⇒ 13 + 16 ÷ 4 × 5 - 22 = 11
⇒ 13 + 4 × 5 - 22 = 11
⇒ 13 + 20 - 22 = 11
⇒ 33 - 22 = 11
⇒ 11 = 11
Thus, the given equation will be correct by interchanging 4 and 16.
Hence, 4 and 16 is the correct answer.