Which of the numbers(not digits) should be interchanged in the below equation to make it mathematically correct?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 9 and 24.
After interchanging option 1 (27 and 9):
216 ÷ 27 × 16 + 24 - 9 = 126
8 × 16 + 24 - 9 = 126
128 + 24 - 9 = 126
152 - 9 = 126
143 = 126
After interchanging option 2 (16 and 9):
216 ÷ 16 × 9 + 24 - 27 = 126
13.5 × 9 + 24 - 27 = 126
121.5 + 24 - 27 = 126
145.5 - 27 = 126
118.5 = 126
After interchanging option 3 (9 and 24):
216 ÷ 24 × 16 + 9 - 27 = 126
9 × 16 + 9 - 27 = 126
144 + 9 - 27 = 126
126 = 126
After interchanging option 4 (24 and 27):
216 ÷ 9 × 16 + 27 - 24 = 126
24 × 16 + 27 - 24 = 126
384 + 3 = 126
387 = 126
Hence, the correct answer is 9 and 24.