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H.C.F L.C.M
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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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