Which of the following interchanges of signs would make the given equation correct?
8 - 42 + 104 ÷ 13 × 4 = 18
निम्नलिखित में से चिह्नों के किस आदान-प्रदान से दिया गया समीकरण सही हो जाएगा?
8 - 42 + 104 ÷ 13 × 4 = 18
Solution
The given equation:
8-42+104-13 × 4 = 18
Option 1) + and x
8-42×104-13 + 4
→8-42×104 +13 + 4
→8-42x8+4
→8-336+4
→ -325 ≠ 18.
Option 2) + and
8+42+104-13 × 4 = 18
842+104-13 × 4
→0.1905 + 104-13 x 4
→0.19 +104-52
→52.19 18
Option 3) - and x
8 × 42 + 104-13-4=18
→8x42 +104-13-4
→8x42+8-4
→336+8-4
→ 340 ≠ 18
Option 4) - and +
8+42-104-13 × 4 = 18
→8+42-104 ÷ 13 × 4
→8+42-8x4
→8+42-32
→ 18 = 18.
Hence, the correct answer is "Option 4".
Solution
दिया गया समीकरण:
8-42+104-13 × 4 = 18
Option 1) + and x
8-42×104-13 + 4
→8-42×104 +13 + 4
→8-42x8+4
→8-336+4
→ -325 ≠ 18.
Option 2) + and
8+42+104-13 × 4 = 18
842+104-13 × 4
→0.1905 + 104-13 x 4
→0.19 +104-52
→52.19 18
Option 3) - and x
8 × 42 + 104-13-4=18
→8x42 +104-13-4
→8x42+8-4
→336+8-4
→ 340 ≠ 18
Option 4) - and +
8+42-104-13 × 4 = 18
→8+42-104 ÷ 13 × 4
→8+42-8x4
→8+42-32
→ 18 = 18.
अतः, सही उत्तर "विकल्प 4" है।
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