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1 mark

Which two numbers (not individual digits) should be interchanged to make the given equation correct?
21×5−35+(42÷7)+28=96

  1. A
    28 and 35
  2. B
    35 and 42
  3. C
    21 and 42
  4. D
    28 and 21

Solution & Step-by-step Explanation

Let's test the options using the BODMAS rule to find which interchange makes the LHS equal to 96.
The original equation is:

21×5−35+(42÷7)+28=96
Test Option A: Interchange 28 and 35
The equation becomes:

21×5−28+(42÷7)+35
Solve bracket: 42÷7=6

Solve multiplication: 21×5=105

Substitute back: 105−28+6+35

Combine additions: 105+6+35=146

Subtract: 146−28=118

=96

Test Option B: Interchange 35 and 42
The equation becomes:

21×5−42+(35÷7)+28
Solve bracket: 35÷7=5

Solve multiplication: 21×5=105

Substitute back: 105−42+5+28

Combine additions: 105+5+28=138

Subtract: 138−42=96

Since LHS=96=RHS, interchanging 35 and 42 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?
21×5−35+(42÷7)+28=96
A
28 and 35
B
35 and 42
C
21 and 42
D
28 and 21

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