Which two numbers should be interchanged to make the given equation correct?
74 – 52 + (39 ÷ 13) × 16 + (14 ÷ 2) = 106
(NOTE: Numbers must be interchanged and not the constituent digits e.g. if 2 and 3 are to be interchanged in the equation 43 × 3 + 4 ÷ 2, then the interchanged equation is 43 × 2 + 4 ÷ 3)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 52 and 39.
Given equation: 74 – 52 + (39 ÷ 13) × 16 + (14 ÷ 2) = 106
Option 1: 52 and 39
After interchanging the expression becomes:
= 74 – 39 + (52 ÷ 13) × 16 + (14 ÷ 2)
= 74 – 39 + 4 × 16 + 7
= 74 – 39 + 64 + 7
= 145 - 39
= 106
Hence, 52 and 39 is the correct answer.