Which two signs should be interchanged to make the given equation correct?
(72 ÷ 18) + 30 × 8 - 4 = 20

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  1. + and -
  2. + and ×
  3. × and ÷
  4.  + and ÷

Answer (Detailed Solution Below)

Option 4 :  + and ÷
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BODMAS

Given : (72 ÷ 18) + 30 × 8 - 4 = 20

According to the question, after interchanging the numbers :

Option 1) + and -

(72 ÷ 18) + 30 × 8 - 4 = 20 ⇒ (72 ÷ 18) - 30 × 8 + 4 = 20

⇒ (72 ÷ 18) - 30 × 8 + 4 = 20

⇒ 4 - 30 × 8 + 4 = 20

⇒ 4 + 4 - 240 = 20

⇒ 8 - 240 = 20

⇒ -232 ≠ 20 (LHS ≠ RHS)

Option 2) + and ×

(72 ÷ 18) + 30 × 8 - 4 = 20 ⇒ (72 ÷ 18) × 30 + 8 - 4 = 20

⇒ (72 ÷ 18) × 30 + 8 - 4 = 20

⇒ 4 × 30 + 8 - 4 = 20

⇒ 120 + 8 - 4 = 20

⇒ 128 - 4 = 20

⇒124 ≠ 20 (LHS ≠ RHS)

Option 3) × and ÷

(72 ÷ 18) + 30 × 8 - 4 = 20 ⇒ (72 × 18) + 30 ÷ 8 - 4 = 20

⇒ (72 × 18) + 30 ÷ 8 - 4 = 20

⇒ 1296 + 30 ÷ 8 - 4 = 20

⇒ 1296 + 3.75 - 4 = 20

⇒ 1299.75 - 4 = 20

⇒ 1295.75 ≠ 20 (LHS ≠ RHS)

Option 4) + and ÷

(72 ÷ 18) + 30 × 8 - 4 = 20 ⇒ (72 + 18) ÷ 30 × 8 - 4 = 20

⇒ (72 + 18) ÷ 30 × 8 - 4 = 20

⇒ 90 ÷ 30 × 8 - 4 = 20

⇒ 3 × 8 - 4 = 20

⇒ 24 - 4 = 20

⇒ 20 20 (LHS RHS)

Hence, "Option 4" is the correct answer.

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