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Option 3 : 54 and 45, + and ×
Given equation: 54 – 45 ÷ 9 + 7 × 11 = 14
1) 7 and 54, + and –
After interchanging 7 and 54, + and –, we get:
L.H.S = 7 + 45 ÷ 9 - 54 × 11
= 7 + 5 – 51 ×11
= 7 + 5 – 561
= 12 – 561
= -549 ≠ R.H.S
2) 9 and 11, - and ÷
After interchanging 9 and 11, - and ÷, we get:
L.H.S = 54 ÷ 45 - 11 + 7 × 9
= 1.2 – 11 + 63
= 64.2 – 11
= 53.2 ≠ R.H.S
3) 54 and 45, + and ×
After interchanging 54 and 45, + and ×, we get:
L.H.S = 45 – 54 ÷ 9 × 7 + 11
= 45 – 6 × 7 + 11
= 45 – 42 + 11
= 14 = R.H.S
4) 45 and 11, ÷ and ×
After interchanging 45 and 11, ÷ and ×, we get:
L.H.S = 54 – 11 × 9 + 7 ÷ 45
= 54 – 99 + 0.156
= 54.156 – 99
= -47.844 ≠ R.H.S
Hence, ‘54 and 45, + and ×’ is the correct answer.
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