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Which two numbers need to be interchanged to make the following equation correct?
24+22×12÷16–8=32

  1. A
    22 and 24
  2. B
    24 and 12
  3. C
    22 and 16
  4. D
    12 and 8

Solution & Step-by-step Explanation

Let's test the options using the BODMAS rule to find the one that equals 32.
Test Option B (Interchange 24 and 12):
The new equation becomes:

12+22×24÷16−8=32
Applying BODMAS:

Division: 24÷16=
2
3



Multiplication: 22×
2
3

=11×3=33

Addition and Subtraction: 12+33−8=45−8=37

=32

Test Option C (Interchange 22 and 16):
The new equation becomes:

24+16×12÷22−8=32
This leaves a fraction (192÷22), which won't yield an integer 32.

Test Option A (Interchange 22 and 24):
The new equation becomes:

22+24×12÷16−8=32
Applying BODMAS:

Division & Multiplication: 24×
16
12

=24×
4
3

=6×3=18

Equation is now: 22+18−8

40−8=32

Since 32=32, interchanging 22 and 24 makes the equation correct.

Practice this question

Try it yourself before checking the explanation above.

Which two numbers need to be interchanged to make the following equation correct?
24+22×12÷16–8=32
A
22 and 24
B
24 and 12
C
22 and 16
D
12 and 8

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