The number of math books and Chinese books is four times that of English books.

Then all the books add up to 4+ 1=5 times that of English books.

There are 70/5= 14 English books.

There are x math books and 70- 14-X = 56-X language books.

The sum of the number of math books and English books is three times less than that of Chinese books.

That is x+ 14=3(56-x)-2.

Solve x=38.

There are 14 English books, 38 math books and 18 Chinese books.