Which two numbers (not individual digits) should be interchanged to make the given equation correct?
56+(11×2)−(52÷4)+16=76
- A16 and 11
- B56 and 52
- C2 and 4
- D52 and 16
Solution & Step-by-step Explanation
Let's check Option D by interchanging 52 and 16:
The equation becomes:
56+(11×2)−(16÷4)+52=76
Applying BODMAS rule:
Brackets and Division/Multiplication:
11×2=22
16÷4=4
Substitute these back into the equation:
56+22−4+52
Addition:
56+22+52=130
Subtraction:
130−4=126
=76
Let's test Option B by interchanging 56 and 52:
The equation becomes:
52+(11×2)−(56÷4)+16=76
Applying BODMAS rule:
Brackets and Division/Multiplication:
11×2=22
56÷4=14
Substitute values:
52+22−14+16
Addition:
52+22+16=90
Subtraction:
90−14=76
Since LHS=RHS, interchanging 56 and 52 makes the equation correct.
The equation becomes:
56+(11×2)−(16÷4)+52=76
Applying BODMAS rule:
Brackets and Division/Multiplication:
11×2=22
16÷4=4
Substitute these back into the equation:
56+22−4+52
Addition:
56+22+52=130
Subtraction:
130−4=126
=76
Let's test Option B by interchanging 56 and 52:
The equation becomes:
52+(11×2)−(56÷4)+16=76
Applying BODMAS rule:
Brackets and Division/Multiplication:
11×2=22
56÷4=14
Substitute values:
52+22−14+16
Addition:
52+22+16=90
Subtraction:
90−14=76
Since LHS=RHS, interchanging 56 and 52 makes the equation correct.