Question
Download Solution PDFமூன்று எண்கள் 2 ∶ 3 ∶ 5 விகிதத்தில் உள்ளன மற்றும் அவற்றின் LCM 90 ஆகும். அவற்றின் HCFஐக் கண்டறியவும்.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
எண்கள் 2 : 3 : 5 என்ற விகிதத்தில் உள்ளன
எண்களின் LCM = 90
கணக்கீடு:
எண் 2x, 3x மற்றும் 5x ஆக இருக்கட்டும்.
LCM இன் (2x, 3x மற்றும் 5x) = 2 × 3 × 5 × (x)
⇒ 30x
கேள்வியின் படி, 30x = 90
⇒ x = 90/30
⇒ x = 3
எனவே, எண்கள் 6, 9, 15 ஆகும்
இப்போது,
6 = 2 × 3
9 = 3 2
15 = 3 × 5
எனவே, HCF = 3
∴ மூன்று எண்களின் HCF 3 ஆகும்.
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