I can usually do these, but this one has confused me and I need help. Four times a number is four more than two times the number. What's the number. Thank you Tricia

Expert Answers
tjbrewer eNotes educator| Certified Educator

We use a letter to designate our mystery number, it doesn't matter what letter we use, but most use `x` Then we need to use the relationships in the story problem to set up an equation. 

Four times the mystery number is `4x`
Four more than two times the number is `2x+4`

This gives us an equation `4x=2x+4` We subtract the `2x` from both sides of the equation to isolate like terms, and we get: `2x=4` We divide each side by 2 to isolate the variable `x` and we get `x=2` And that's your answer.  The number is 2.