Question
Download Solution PDFतीन संख्याएँ m, n और p इस प्रकार हैं कि m और n का योग 144 है, n के तीन गुने और p के पाँच गुने का योग 464 है, और p और m का योग 160 है, तो p का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
1) m + n = 144
2) 3n + 5p = 464
3) p + m = 160
गणनाएँ:
समीकरण 1 से m = 144 - n को समीकरण 3 में प्रतिस्थापित करें:
p + (144 - n) = 160
p + 144 - n = 160
⇒ p = 16 + n
अब p = 16 + n को समीकरण 2 में प्रतिस्थापित करें:
3n + 5(16 + n) = 464
⇒ 3n + 80 + 5n = 464
⇒ 8n + 80 = 464
⇒ 8n = 464 - 80
⇒ 8n = 384
⇒ n = 384 / 8 = 48
n = 48 को p = 16 + n में प्रतिस्थापित करें:
⇒ p = 16 + 48 = 64
∴ p का मान 64 है।
Last updated on Jan 15, 2025
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