CAT
Exam
Category
product of LCM and HCF of two number is 24.difference of the two numbers is 2.find the numbers?
Read Solution (Total 3)
-
- Let the Numbers are a,b
then ab=24------------(i)
a-b=2
or a=2+b---------------(ii)
now (2+b)*b=24
or b^2 + 2b -24= 0
(b+6)(b-4)=0
so b=4, a=6 - 10 years agoHelpfull: Yes(3) No(0)
- if numbers are x,y
LCM*HCF = x*y
=> xy = 24 --------(1)
and, (x-y)= 2 -------------(2)
(x+y)^2 = (x-y)^2 + 4xy = 2^2 +4*24 = 100
=> x+y = 10 --------------(3)
from(2)&(3)
x = 6 , y = 4
- 10 years agoHelpfull: Yes(2) No(0)
- xy = 24 --------(1)
and, (x-y)= 2 -------------(2)
thus we get, x = 6 and y = 4. - 10 years agoHelpfull: Yes(0) No(1)
CAT Other Question