Correct option is (3) 220
The HCF and LCM of 40, 240 and 480.
40 = 2 x 2 x 2 x 5
240 = 2 x 2 x 2 x 2 x 3 x 5
480 = 2 x 2 x 2 x 2 x 2 x 3 x 5
LCM = 2 x 2 x 2 x 2 x 2 x 3 x 5
= 480
HCF = 2 x 2 x 2 x 5
= 40
Therefore, The LCM is 480 and the HCF is 40 for the number 40, 240 and 480.
Let x be the number then,
According the question,
LCM - HCF = 2x
480 - 40 = 2x
440 = 2x
\(x = \frac {440}{2} \)
\(\therefore x = 220\)
Therefore, The value of the number is 220.
