it the HCF of two numbers is 2 and their LCM is 70 find the number
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Answer:
Explanation:
Given :
- HCF of two numbers is 2.
- LCM of two numbers is 70.
To Find :
- The number.
Formula to be used :
- LCM × HCF = Product of two numbers
Solution :
Let, first number be "P". and second number be "2P".
★ Numbers,
LCM × HCF = Product of two numbers
⇒70 × 2 = P × 2P
⇒ 140 = 2P²
⇒ P² = 70
⇒ P = 8.36
Hence,
- First number = P = 8.36
- Second number = 2P = 2 × 8.3 = 16.72
★ Verification,
LCM × HCF = Product of two numbers
⇒ 70 × 2 = 8.36 × 16.72
⇒ 140 = 139.7792 ≈ 140
⇒ 140 = 140
Hence, Verified!!
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