Question
Download Solution PDFदोन संख्यांची बेरीज 205 आहे. जर यापैकी एक संख्या 5% ने कमी केली आणि दुसरी 10% ने वाढवली, तर परिणामी संख्या एकमेकांच्या समान आहेत. दोन प्रारंभिक संख्यांपैकी लहान शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले:
दोन संख्यांची बेरीज = २०५
पहिली संख्या = 5% ने कमी
दुसरी संख्या = 10% ने वाढली
परिणामी संख्या एकमेकांच्या समान आहेत.
गणना:
संख्या x आणि y असू द्या.
⇒ x + y = 205
⇒ x = 205 - y → (1)
⇒ घटानंतरची पहिली संख्या = x -
⇒ वाढीनंतर दुसरी संख्या = y +
प्रश्नानुसार,
⇒
⇒ 19x = 22y
⇒ x =
हे मूल्य समीकरण (1) मध्ये ठेवल्यास, आपल्याला मिळते
⇒
⇒
⇒ 22y + 19y = 205 x 19
⇒ 41y = 205 x 19
⇒ y =
⇒ x = 205 - 95 = 110
म्हणून, दोन प्रारंभिक संख्यांपैकी सर्वात लहान संख्या 95 आहे.
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