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Which two numbers, from amongst the given options, should be interchanged to make the given equation correct?
(132 ÷ 12) + (6 × 11) + 18 − (64 ÷ 16) × 8 = 70
11 and 8
12 and 6
8 and 6
12 and 11
- The original equation is: (132 ÷ 12) + (6 × 11) + 18 - (64 ÷ 16) × 8 = 70.
- Evaluate it step by step:
- 132 ÷ 12 = 11
- 6 × 11 = 66
- 64 ÷ 16 = 4
- 4 × 8 = 32
- So, 11 + 66 + 18 - 32 = 63, not 70.
- Check each option by swapping values:
- Swapping 11 and 8 doesn’t help.
- Swapping 12 and 6 gives: (132 ÷ 6) + (12 × 11) + 18 - (64 ÷ 16) × 8 = 70.
- 132 ÷ 6 = 22 and 12 × 11 = 132, 22 + 132 + 18 - 32 = 140, incorrect.
- Swapping 8 and 6 gives: (132 ÷ 12) + (8 × 11) + 18 - (64 ÷ 16) × 6 = 70.
- 132 ÷ 12 = 11 and 8 × 11 = 88, 11 + 88 + 18 - 24 = 93, incorrect.
- Swapping 12 and 11 gives: (132 ÷ 11) + (6 × 12) + 18 - (64 ÷ 16) × 8 = 70.
- 132 ÷ 11 = 12 and 6 × 12 = 72, 12 + 72 + 18 - 32 = 70, correct.
Therefore, the correct option is: 4, 12 and 11
By: santosh ProfileResourcesReport error
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