2 of 3 added 114 characters in body

Why should i omit “like” from the following sentence?

  • Many people would ask like this question: why am I here?

One of my friend told me that i should omit like , but he didn't tell my why. Is the sentence with like grammatically or meaningfully correct or not?

And if i should cross like out, why i must do that?

What I meant by "like" is maybe they would ask themselves a question identical to this question or similar.