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Question 32
The HCF of two numbers is 21 and their LCM is 221 times the HCF. If one of the numbers lies between 200 and 300, then the sum ofthe digits of the other number is:
Solution
HCF = 21
LCM =Â 221 $$\times$$ 21
Number of products = HCF $$\times$$ LCM
Number of products =Â 221 $$\times$$ 21Â $$\times$$ 21
=Â 13 $$\times$$Â 17 $$\times$$ 21 $$\times$$ 21
So 1 number = 13 $$\times$$ 21 = 273
Another number =Â 17 $$\times$$ 21 = 357
Sum of the digits of the other number = 3 +Â 5 +Â 7 = 15
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