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Q.

The sum of LCM and HCF of two numbers is 1260. If their LCM is 900 more than their HCF, find the product of two numbers?


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a

203400

b

194400

c

198400

d

205400                                                                                                                                                                                                                 

answer is B.

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Detailed Solution

Let the HCF be x
LCM = HCF + 900
LCM = x + 900   …(1)
And,  LCM + HCF = 1260
LCM + x = 1260   …(2)
From eq (1) & (2)
(x + 900) + x = 1260
2x = 1260 – 900
HCF = 180
And from eq (1)
LCM = HCF + 900
LCM = 180 + 900 = 1080
Product of numbers = HCF × LCM
= 180 × 1080 = 194400
   
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