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HCF and LCM of two numbers are 5 and 210 respectively. If the numbers are between 25 and 40, the sum of the numbers will be :
Question

HCF and LCM of two numbers are 5 and 210 respectively. If the numbers are between 25 and 40, the sum of the numbers will be :

A.

55

B.

60

C.

65

D.

50

Correct option is C

Given:
HCF = 5
LCM = 210
Numbers lie between 25 and 40
Formula Used:
Product of two numbers = HCF × LCM 
Solution:
Product of two numbers = 5 × 210
Product of two numbers = 1050
We need to find two numbers between 25 and 40 whose product is 1050 and HCF is 5.
Check: 30 × 35 = 1050 and HCF(30, 35) = 5
Sum of the numbers = 30 + 35 = 65

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