Which of the following interchanges in signs and numbers will make the given equation correct?
8×6+4=52
- A× and +, 8 and 52
- B+ and ×, 6 and 4
- C× and +, 8 and 4
- D+ and ×, 6 and 8
Solution & Step-by-step Explanation
Let's test the given options one by one:
Option C: Interchange × and +, and the numbers 8 and 4.
The original equation is:
8×6+4=52
Replacing 8 with 4, 4 with 8, × with +, and + with ×:
4+6×8
According to BODMAS rules, perform multiplication first:
6×8=48
Then addition:
4+48=52
This matches the right-hand side (52) perfectly.
Option C: Interchange × and +, and the numbers 8 and 4.
The original equation is:
8×6+4=52
Replacing 8 with 4, 4 with 8, × with +, and + with ×:
4+6×8
According to BODMAS rules, perform multiplication first:
6×8=48
Then addition:
4+48=52
This matches the right-hand side (52) perfectly.