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The LCM of two numbers is 15 times of HCF. The sum of HCF and LCM is 480. If both number are smaller than LCM. Find both the numbers.

(A)



60 and 90

(B)



90 and 120

(C)

120 and 150

(D)

90 and 150


Answer: (D)
Explanation:

LCM = 15 * HCF 
We know that LCM + HCF = 480 
16 * HCF = 480 
HCF = 30 
Then LCM = 450 
we know that LCM*HCF = x*y.
So, by calculating we get the numbers
3 * 30 = 90 and 5 * 30 = 150

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