The following equation is incorrect. Which two signs should be interchanged to correct it?
6×18+40÷30−10=20
- A+ and ×
- B+ and ÷
- C− and +
- D− and ×
Solution & Step-by-step Explanation
Let's test the options one by one:
Option B: + and ÷
Interchanging + and ÷, the equation becomes:
6×18÷40+30−10=20
6×
40
18
+30−10=
20
54
+20
=20
Option C: − and +
Interchanging − and +, the equation becomes:
6×18−40÷30+10=20
108−
3
4
+10
=20
Option D: − and ×
Interchanging − and ×, the equation becomes:
6−18+40÷30×10=20
Applying BODMAS:
6−18+(
30
40
)×10=20
6−18+
3
40
=20
Option A: + and ×
Interchanging + and ×, the equation becomes:
6+18×40÷30−10=20
Applying BODMAS:
40÷30=
3
4
6+18×
3
4
−10=20
6+(6×4)−10=20
6+24−10=20
30−10=20
20=20
(LHS = RHS)
Thus, option A is correct.
Option B: + and ÷
Interchanging + and ÷, the equation becomes:
6×18÷40+30−10=20
6×
40
18
+30−10=
20
54
+20
=20
Option C: − and +
Interchanging − and +, the equation becomes:
6×18−40÷30+10=20
108−
3
4
+10
=20
Option D: − and ×
Interchanging − and ×, the equation becomes:
6−18+40÷30×10=20
Applying BODMAS:
6−18+(
30
40
)×10=20
6−18+
3
40
=20
Option A: + and ×
Interchanging + and ×, the equation becomes:
6+18×40÷30−10=20
Applying BODMAS:
40÷30=
3
4
6+18×
3
4
−10=20
6+(6×4)−10=20
6+24−10=20
30−10=20
20=20
(LHS = RHS)
Thus, option A is correct.