problem on hcf and lcm

manisha

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Oct 24, 2012
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11
hello friends,
my question is
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is,.............


please explain me ....

thanks
 
hello friends,
my question is
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is,.............


please explain me ....

thanks

\(\displaystyle |ab| = 495\cdot 5\)
\(\displaystyle a+b = 10\)

So?
 
hi
below is the work i did ...
let the numbers be x and (10-x) then,
x(10-x)=5*495
x2-10x-2475=0
(x-55)(x+45)=0
x= +55 or x=-45
the numbers are 55 and 45....... Numbers are 55 and -45

required difference= 55 - (-45) = 100


(55-45)=10

.
 
hi
below is the work i did ...
let the numbers be x and (10-x) then,
x(10-x)=5*495
x2-10x-2475=0
This is incorrect.

\(\displaystyle x(10- x)= 10x- x^2= 2475\)
ADD x^2 and -10x to both sides to get
\(\displaystyle 0= x^2- 10x+ 2475\) not \(\displaystyle x^2-10 x- 2475= 0\)

(x-55)(x+45)=0
x= +55 or x=-45
the numbers are 55 and 45
required difference= (55-45)=10
 
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