After interchanging + & × and 8 & 24, which of the following equations will hold true?
Show answer & explanation
Correct answer: A
Explanation
We are told to interchange:
The operators + and ×
The numbers 8 and 24.
Apply changes to each option
Option 1:
Original:
(8+2)×24=56
After swapping numbers and operators:
(24×2)+8
Calculation:
48+8=56; Matches the RHS.
Option 2:
Original:
(24+1)×8=30
After swapping numbers and operators:
(8×1)+24
Calculation:
8+24=32; Not match to 30.
Option 3:
Original:
(8+3)×24=70
After swapping numbers and operators:
(24×3)+8
Calculation:
72+8=80; Not match to 70.
Option 4:
(24+4)×8=60
After swapping numbers and operators:
(8×4)+24
Calculation:
32+24=56; Not match to 60.
Hence, the correct answer is option 1