The LCM of two numbers is 495 an their HCF is 5. If the sum of the numbers is 10, then their difference is :

Options
- 10
- 14
- 20
- 32


CORRECT ANSWER : 10

Discussion Board
answer breakup

given ab = 4*495
consider a + b = 100 (because 10 gives answer as a complex number. i.e negative root)
(a-b)^2 = (a+b)^2 - 4ab
on substitution, a-b = sqrt(10000-9900) = sqrt(100) = 10
[option A]

Vinay 02-9-2021 06:17 AM

Hi

In the place 10 if we replace to 100 then it''s correct

Hashma 08-12-2019 11:08 AM

Explanation

Let the numbers be x and (100-x).



Then,x(100-x)=5*495


=> x2-100x+2475=0


=> (x-55) (x-45) = 0



=> x = 55 or x = 45



The numbers are 45 and 55



Required difference = (55-45) = 10

Umme 07-31-2018 03:59 AM

Explanation

Let the numbers be x and (100-x).



Then,x(100-x)=5*495


=> x2-100x+2475=0


=> (x-55) (x-45) = 0



=> x = 55 or x = 45



The numbers are 45 and 55



Required difference = (55-45) = 10

Umme 07-31-2018 03:55 AM

error in question

here sum of the two numbers should be 100 only than it would satisfy the question.

upasana 03-9-2018 10:05 AM

please tell me the sol of this.

How do i solve this? please tell me the sol.

prateek 03-1-2018 04:54 AM

kese hua sir ji plz slove it . i have no idea

plz sir solve it i have no idea

suraj kumar shah 02-4-2018 11:13 AM

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