Answer 1

Let the required integers be x, x + 1 and x + 2.

According to the given statement,

`1/3 x  + 1/4 (x + 1) + 1/5 (x + 2) <= 20`

`(20x + 15x + 15 + 12x + 24)/60 <= 20`

`47x + 39 <= 1200`

`47 xx <= 1161`

`x  <= 24.702`

Thus the largest values of the positive interger x is 24,

Hence the required integer are 24, 25 and 26