If '÷' means '+', '−' means '×', '+' means '−' and, '×' means '÷', then which of the following equations is correct?
- A42×28−30÷48+45=45
- B42×28−30÷48+45=50
- C42×28−30÷48+45=48
- D42×28−30÷48+45=40
Solution & Step-by-step Explanation
Let's decode the operators given in the problem statement:
÷→+
−→×
+→−
×→÷
Now, let's substitute these operations into the left-hand side expression shared across all options:
LHS=42÷28×30+48−45
According to the BODMAS rule, perform division first:
28
42
=
2
3
=1.5
Now rewrite the expression:
LHS=1.5×30+48−45
Perform multiplication next:
1.5×30=45
Substitute back into the expression:
LHS=45+48−45
LHS=93−45=48
Therefore, the equation equals 48, which perfectly matches Option C.
÷→+
−→×
+→−
×→÷
Now, let's substitute these operations into the left-hand side expression shared across all options:
LHS=42÷28×30+48−45
According to the BODMAS rule, perform division first:
28
42
=
2
3
=1.5
Now rewrite the expression:
LHS=1.5×30+48−45
Perform multiplication next:
1.5×30=45
Substitute back into the expression:
LHS=45+48−45
LHS=93−45=48
Therefore, the equation equals 48, which perfectly matches Option C.