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The LCM and HCF of two numbers are 120 and 4 respectively. If the bigger number is 6/5 times the smaller number then find both the numbers?
1. 12, 16
2. 16, 24
3. 16, 20
4. 20, 24

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Correct Answer - Option 4 : 20, 24

Concept:

(LCM × HCF) of two numbers = Product of the two numbers

Calculation:

Let the smaller number = ‘a’

∴ 6a/5 × a = 120 × 4

⇒ a2 = 400

⇒ a = √400

⇒ a = 20

∴ Bigger number = 6a/5

= (6 × 20)/5

= 24

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