Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
15 ÷ 3 + 15 - 3 × 3 = 47
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 15 ÷ 3 + 15 - 3 × 3 = 47
(1) - and ×
⇒ 15 ÷ 3 + 15 - 3 × 3 = 47
After interchanging the signs:
⇒ 15 ÷ 3 + 15 × 3 - 3 = 47
Apply BODMAS rule:
⇒ 5 + 15 × 3 - 3
⇒ 5 + 4 5 - 3
⇒ 50 - 3 = 47
⇒ '15 ÷ 3 + 15 × 3 - 3 = 47'
Here, the equation is satisfied.
(2) ÷ and +
⇒ 15 ÷ 3 + 15 - 3 × 3 = 47
After interchanging the signs:
⇒ 15 + 3 ÷ 15 - 3 × 3 = 47
Apply BODMAS rule:
⇒ 15 + 0.2 - 3 × 3
⇒ 15 + 0.2 - 9
⇒ 15.2 - 9 = 6.2
Here, the equation is not satisfied.
(3) ÷ and ×
⇒ 15 ÷ 3 + 15 - 3 × 3 = 47
After interchanging the signs:
⇒ 15 × 3 + 15 - 3 ÷ 3 = 47
Apply BODMAS rule:
⇒ 15 × 3 + 15 - 1
⇒ 45 + 15 - 1
⇒ 60 - 1 = 59
Here, the equation is not satisfied.
(4) + and -
⇒ 15 ÷ 3 + 15 - 3 × 3 = 47
After interchanging the signs:
⇒ 15 ÷ 3 - 15 + 3 × 3 = 47
Apply BODMAS rule:
⇒ 5 - 15 + 3 × 3
⇒ 5 - 15 + 9
⇒ 14 - 15 = (-1)
Here, the equation is not satisfied.
Hence, the correct answer is "Option (1)".
Last updated on Jun 13, 2025
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