Clare asks Andre to play the following number puzzle: Pick a number Add 2 Multiply by 3 Subtract 7 Add your original number Andre’s final result is 27. Which number did he start with?
Accepted Solution
A:
Answer:Andre started with the number 7.Step-by-step explanation:We are given the following information in the question:A number puzzle:" Pick a number Add 2 Multiply by 3 Subtract 7 Add your original number Andre’s final result is 27."Let x be the starting number. Ten, we can write:Pick a number and add 2:[tex]x+2[/tex]Multiply by 3:[tex]3(x+2)[/tex]Subtract 7[tex]3(x+2)-7[/tex]Add your original number[tex]3(x+2)-7+x[/tex]The final result is 27.[tex]3(x+2)-7+x = 27\\3x + 6-7+x = 27\\(3x+x) + (6-7) = 27\\4x - 1 = 27\\4x = 28\\x = 7[/tex]Thus, the number Andre started with was 7.