Question
Download Solution PDFరెండు సంఖ్యలు 5 ∶ 7 నిష్పత్తిలో ఉన్నాయి. ప్రతిదానికి 6ని జోడిస్తే, నిష్పత్తి 3 ∶ 4 అవుతుంది. ఆ సంఖ్యలను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినవి:
రెండు సంఖ్యల నిష్పత్తి= 5 : 7
ప్రతిదానికి 6 జోడించబడినప్పుడు, కొత్త నిష్పత్తి = 3 : 4
లెక్కింపు:
సంఖ్యలు 5x మరియు 7x ఉండనివ్వండి.
ప్రశ్న ప్రకారం,
⇒ \(\frac{5x+6}{7x+6}=\frac{3}{4}\)
⇒ 4(5x + 6) = 3(7x + 6)
⇒ 20x + 24 = 21x + 18
⇒ 21x – 20x = 24 – 18
⇒ x = 6
మొదటి సంఖ్య = 5x = 5 × 6 = 30
రెండవ సంఖ్య = 7x = 7 × 6 = 42
కాబట్టి, రెండు సంఖ్యలు 30 మరియు 42.
Last updated on Jul 9, 2025
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