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Dnyanbhasha Marathi Pratishthan | ज्ञानभाषा मराठी प्रतिष्ठान

✍️ गणिताशी गट्टी प्रश्न क्र. ८२ ✍️

Posted onMay 7, 2021
ByAbhijeet
गणिताशीगट्टी
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✍️ गणिताशी गट्टी प्रश्न क्र. ८२ ✍️

एका पेन्सिलचा दोन पंचमांश (२/५) भाग काळ्या रंगाने तर उर्वरित भागाच्या एक तृतीयांश (१/३) भाग निळ्या रंगाने रंगविलेला आहे. बाकी उरलेला ३.२ सेमी भाग पांढऱ्या रंगाने रंगवला असेल तर पेन्सिलची एकूण लांबी किती?

➡️ उत्तर :-

पेन्सिलची एकूण लांबी x सेमी आहे असे मानू.

काळ्या रंगाने रंगविलेला भाग = (२/५)x सेमी.
निळ्या रंगाने रंगविलेला भाग = (१/३) [ x – (२/५)x]

निळ्या रंगाने रंगविलेला भाग = (१/३) [ (५x – २x) /५]

निळ्या रंगाने रंगविलेला भाग = (१/३) [३x/५]

निळ्या रंगाने रंगविलेला भाग = x/५ सेमी

पांढऱ्या रंगाने रंगविलेला भाग = ३.२ सेमी

➡️ दिलेल्या माहितीनुसार,

(२x/५) + (x/५) + ३.२ = x

(३x/५) + ३.२ = x

x – (३x/५) = ३.२

(५x-३x)/५ = ३.२

२x = ३.२ × ५

x = १६/२

x = ८ सेमी

➡️ म्हणून पेन्सिलची एकूण लांबी ८ सेमी आहे.

©अजित तिजोरे – ८०९७६१७०२०

#ज्ञानभाषा मराठी प्रतिष्ठान

#गणिताशी गट्टी

Tags: Marathi, Math, Mathematics, गणित, मराठी

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