Question
Download Solution PDFWhich of the following interchanges of signs would make the given equation correct?
173 ÷ 169 + 13 × 5 - 13 = 225
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 173 ÷ 169 + 13 × 5 - 13 = 225
(1) + and -
⇒ 173 ÷ 169 + 13 × 5 - 13 = 225
After interchanging the signs:
⇒ 173 ÷ 169 - 13 × 5 + 13 = 225
Apply BODMAS rule:
⇒ 1.02 - 13 × 5 + 13
⇒ 1.02 - 65 + 13
⇒ 14.02 - 65 = (-50.97)
Here, the equation is not satisfied.
(2) ÷ and -
⇒ 173 ÷ 169 + 13 × 5 - 13 = 225
After interchanging the signs:
⇒ 173 - 169 + 13 × 5 ÷ 13 = 225
Apply BODMAS rule:
⇒ 173 - 169 + 13 × 0.384
⇒ 173 - 169 + 5
⇒ 178 - 169 = 9
Here, the equation is not satisfied.
(3) ÷ and +
⇒ 173 ÷ 169 + 13 × 5 - 13 = 225
After interchanging the signs:
⇒ 173 + 169 ÷ 13 × 5 - 13 = 225
Apply BODMAS rule:
⇒ 173 + 13 × 5 - 13
⇒ 173 + 65 - 13
⇒ 238 - 13 = 225
⇒ '173 + 169 ÷ 13 × 5 - 13 = 225'
Here, the equation is satisfied.
(4) - and ×
⇒ 173 ÷ 169 + 13 × 5 - 13 = 225
After interchanging the signs:
⇒ 173 ÷ 169 + 13 - 5 × 13 = 225
Apply BODMAS rule:
⇒ 1.02 + 13 - 5 × 13
⇒ 1.02 + 13 - 65
⇒ 14.02 - 65 = (-50.97)
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
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