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1 mark

Which two numbers (not individual digits) should be interchanged to make the given equation correct?
56+(11×2)−(52÷4)+16=76

  1. A
    16 and 11
  2. B
    56 and 52
  3. C
    2 and 4
  4. D
    52 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.

Practice this question

Try it yourself before checking the explanation above.

Which two numbers (not individual digits) should be interchanged to make the given equation correct?
56+(11×2)−(52÷4)+16=76
A
16 and 11
B
56 and 52
C
2 and 4
D
52 and 16

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