Question

The difference of L.C.M. and H.C.F. of the
numbers 40, 240 and 480 is equal to twice
a number. Find the number​

Answer 1

Answer:

I hope it will be help full for you

Answer 2

Given:

numbers: 40, 240, 480

The difference of L.C.M. and H.C.F. of the  numbers twice  a number

To find:

the number

Solution:

40=2×2×2×5

240=2×2×2×2×3×5

480=2×2×2×2×2×3×5

HCF of all three numbers:

HCF=2×2×2×5=40

LCM of all the three numbers:

LCM=2×2×2×2×2×3×5=480

So, the difference between the HCF and LCM of these numbers is

LCM-HCF=480-40=440

Now, let the required number be $x$.

So,

$2x=440$

⇒$x=220$

Hence, the required number is 220.