Question 1184054
Let Lionel has x bookmarks
Therefore Ken had 1 1/2x = 3/2x bookmarks.
And Mike had 3/4 * 3/2x = 9/8x bookmarks.



Ken and Lionel gave Mike a number of 
bookmarks in the ratio 3:1
Let Lionel gave y bookmarks then Ken gave
3y bookmarks
Now, Ken has = 3/2x-3y bookmarks
         Lionel has = x-y bookmarks
         Mike had = 9/8x + 4y


As a result Mike had twice as many
bookmarks as before
So, 9/8x + 4y = 2 *  9/8x
       => 9x = 32y ———— 1
Lionel had 32 bookmarks more than
Ken.
Therefore x-y = 3/2x x 3y + 32.
=> x + 64 = 4y ———— 2
Solving 1 & 2,
x = 64 * 8 = 512
y = 144.
Then Ken gave bookmarks to Mike = 3y
= 3 * 144 = 432