What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and '×' and '÷' are interchanged?
(28÷4)−(15×3)+48=?
- A58
- B75
- C69
- D62
Solution & Step-by-step Explanation
Given equation:
(28÷4)−(15×3)+48=?
Interchanging the signs as instructed:
+ becomes − and − becomes +
× becomes ÷ and ÷ becomes ×
Substituting the new signs into the equation:
(28×4)+(15÷3)−48=?
Now, solve using the BODMAS rule:
First, solve the brackets:
28×4=112
15÷3=5
So, the equation becomes:
112+5−48=?
Perform addition:
112+5=117
Perform subtraction:
117−48=69
Therefore, the correct value is 69.
(28÷4)−(15×3)+48=?
Interchanging the signs as instructed:
+ becomes − and − becomes +
× becomes ÷ and ÷ becomes ×
Substituting the new signs into the equation:
(28×4)+(15÷3)−48=?
Now, solve using the BODMAS rule:
First, solve the brackets:
28×4=112
15÷3=5
So, the equation becomes:
112+5−48=?
Perform addition:
112+5=117
Perform subtraction:
117−48=69
Therefore, the correct value is 69.