Question
Download Solution PDFदी गई समीकरण को सही बनाने के लिए किन दो संख्याओं (व्यक्तिगत अंकों को नहीं) को आपस में बदलना होगा?
21 × 5 – 35 + (42 ÷ 7) + 28 = 96
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है : 21 x 5 - 35 + (42 ÷ 7) + 28 = 96
प्रश्न के अनुसार, संख्याओं को बदलने के बाद :
विकल्प 1) 28 और 35
21 x 5 - 35 + (42 ÷ 7) + 28 = 96 ⇒ 21 x 5 - 28 + (42 ÷ 7) + 35 = 96
⇒ 21 x 5 - 28 + (42 ÷ 7) + 35 = 96
⇒ 21 x 5 - 28 + 6 + 35 = 96
⇒ 105 + 6 + 35 - 28 = 96
⇒ 146 - 28 = 96
⇒ 118 ≠ 96 (LHS ≠ RHS)
विकल्प 2) 35 और 42
21 x 5 - 35 + (42 ÷ 7) + 28 = 96 ⇒ 21 x 5 - 42 + (35 ÷ 7) + 28 = 96
⇒ 21 x 5 - 42 + (35 ÷ 7) + 28 = 96
⇒ 21 x 5 - 42 + 5 + 28 = 96
⇒ 105 + 5 + 28 - 42 = 96
⇒ 138 - 42 = 96
⇒ 96 = 96 (LHS = RHS)
विकल्प 3) 21 और 42
21 x 5 - 35 + (42 ÷ 7) + 28 = 96 ⇒ 42 x 5 - 35 + (21 ÷ 7) + 28 = 96
⇒ 42 x 5 - 35 + (21 ÷ 7) + 28 = 96
⇒ 42 x 5 - 35 + 3 + 28 = 96
⇒ 210 + 3 + 28 - 35 = 96
⇒ 241 - 35 = 96
⇒ 206 ≠ 96 (LHS ≠ RHS)
विकल्प 4) 28 और 21
21 x 5 - 35 + (42 ÷ 7) + 28 = 96 ⇒ 28 x 5 - 35 + (42 ÷ 7) + 21 = 96
⇒ 28 x 5 - 35 + (42 ÷ 7) + 21 = 96
⇒ 28 x 5 - 35 + 6 + 21 = 96
⇒ 140 + 6 + 21 - 35 = 96
⇒ 167 - 35 = 96
⇒ 132 ≠ 96 (LHS ≠ RHS)
इसलिए, "विकल्प 2" सही उत्तर है।
Last updated on Jun 3, 2025
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