Which two numbers, from amongst the given options, should be interchanged to make the given equation correct?

54 - (3 × 12) ÷ (8)^{\({{1} \over 3}\)} + (11 × 4) + 6 = 69

Given statement : 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

According to the question, after interchanging the two numbers:

So,

• Option - (1) : 11 and 6

Given statement : 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

After Interchanging: 

54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (6 × 4) + 11 = 69

54 - 36 ÷ 2 + 24 + 11 = 69

54 + 24 + 11 - 18 = 69

89 - 18 = 69

71 ≠ 69 (LHS ≠ RHS)

• Option - (2) : 4 and 12

Given statement : 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

After Interchanging: 

54 - (3 × 4) ÷ (8)\({{1} \over 3}\) + (11 × 12) + 6 = 69

54 - 12 ÷ 2 + 132 + 6 = 69

54 + 132 + 6 - 6 = 69

192 - 6 = 69

186 ≠ 69 (LHS ≠ RHS)

• Option - (3) : 6 and 4

Given statement : 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

After Interchanging: 

54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 6) + 4 = 69

54 - 36 ÷ 2 + 66 + 4 = 69

54 + 66 + 4 - 18 = 69

124 - 18 = 69

106 ≠ 69 (LHS ≠ RHS)

• Option - (4) : 3 and 4

Given statement : 54 - (3 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 4) + 6 = 69

After Interchanging: 

54 - (4 × 12) ÷ (8)\({{1} \over 3}\) + (11 × 3) + 6 = 69

54 - 48 ÷ 2 + 33 + 6 = 69

54 + 33 + 6 - 24 = 69

93 - 24 = 69

69 = 69 (LHS = RHS)