दोन संख्यांची बेरीज 288 आहे आणि त्यांचा मसावि 16 आहे. अशा संख्यांच्या एकूण किती जोड्या तयार करता येतील?

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

Answer (Detailed Solution Below)

Option 1 : 3
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दिलेले आहे:

दोन संख्यांची बेरीज 288 आहे आणि त्यांचा मसावि 16 आहे.

गणना:

समजा, संख्येचे गुणोत्तर x : y आहे.

अशाप्रकारे, त्या संख्या 16x आणि 16y असतील (मसावि हा एखाद्या संख्येचा अविभाज्य भाग असतो)

प्रश्नानुसार,

16x + 16y = 288

⇒ 16(x + y) = 288

⇒ x + y = 18

(1, 17) (5, 13) (7, 11) या x, y च्या जोड्या असू शकतात.

अशाप्रकारे, एकूण 3 जोड्या असू शकतात.

∴ पर्याय 1 योग्य आहे.

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