product ab.
11. The LCM of two numbers is 9 times their HCF. The sum of LCM and HCF
is 500. Find their HCF.
(CBSE 2019C1
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Answered by
42
Answer:
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Answered by
79
Answer:
- Their HCF is 50.
Step-by-step explanation:
Given that:
- The LCM of two numbers is 9 times their HCF.
- The sum of LCM and HCF is 500.
To Find:
- HCF of two numbers.
Let us assume:
- HCF of two numbers be H.
- LCM of two numbers be L.
The LCM of two numbers is 9 times their HCF.
⟶ L = 9H _____(i)
The sum of LCM and HCF is 500.
⟶ L + H = 500
Substituting the value of L from eqⁿ (i).
⟶ 9H + H = 500
⟶ 10H = 500
⟶ H = 500/10
⟶ H = 50
Hence,
- HCF of two numbers is 50.
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