రెండు సంఖ్యల మొత్తం 288 మరియు వాటి HCF 16. అటువంటి సంఖ్యల యొక్క ఎన్ని జతలను రూపొందించవచ్చు?

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  1. 3
  2. 5
  3. 2
  4. 4

Answer (Detailed Solution Below)

Option 1 : 3
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ఇచ్చిన:

రెండు సంఖ్యల మొత్తం 288 మరియు వాటి HCF 16

లెక్కలు:

సంఖ్య నిష్పత్తి x : y గా ఉండనివ్వండి

కాబట్టి సంఖ్యలు 16x & 16y (HCF అనేది ఒక సంఖ్య యొక్క అంతర్భాగం)

ప్రశ్న ప్రకారం

16x + 16y = 288

⇒ 16(x + y) = 288

⇒ x + y = 18

x, y జతలు (1, 17) (5, 13) (7, 11) కావచ్చు

కాబట్టి 3 జతల మాత్రమే ఉండవచ్చు.

∴ సరైన ఎంపిక ఎంపిక 1.

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