दोन संख्यांचा लसावि 120 आहे आणि त्या संख्या 3 ∶ 8 या गुणोत्तरात आहेत. तर त्या संख्यांची बेरीज किती असेल?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3)
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  1. 48
  2. 55
  3. 45
  4. 60

Answer (Detailed Solution Below)

Option 2 : 55
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दिलेल्याप्रमाणे:

दोन संख्यांचा लसावि 120 आहे आणि त्या संख्या 3 ∶ 8 या गुणोत्तरात आहेत. 

वापरलेली संकल्पना:

1. मसावि ही सर्वात मोठी संख्या किंवा संख्यांच्या गटातील प्रत्येक सदस्याचा अवयव असलेली संख्या आहे.

2. लसावि ही दोन किंवा अधिक संख्यांचा लघुत्तम सामाईक विभाजक आहे.

गणना:

समजा संख्या अनुक्रमे 3x आणि 8x आहेत.

संख्यांची बेरीज = 3x + 8x = 11x

प्रश्नानुसार,

लसावि (3x, 8x) = 120

⇒ x × 3 × 8 = 120

⇒ x = 120/24

⇒ x = 5

⇒ 11x = 55

∴ संख्यांची बेरीज 55 असेल.

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