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Nataly [62]
3 years ago
14

Seven more than one number equals nine less than double that number. Find that number.

Mathematics
2 answers:
yanalaym [24]3 years ago
3 0

Answer: That number is 16.

Step-by-step explanation:

n + 7 = 2n- 9        n represents the number now  solve the question

   + 9            +9        add 9 to both sides

n + 16 = 2n             subtract n from both sides

-n            -n

  16= 1n                     Divide both sides by 1

n= 16

Check:    16 + 7 = 2(16) - 9

                 23 =23

klasskru [66]3 years ago
3 0
Answer:
That number is 16

Explanation:
Step 1 - Write down the information you know

*ps. for this problem we will be using x to represent the unknown number. for future problems, just know that unless a variable has an assigned letter to represent it, you can usually pick whichever letter you’d like

• “Seven more” — “7 +”
• “then one number equals” — “x =”
• “nine less than” — “- 9”
• “double that number” — “2x”

Step 2 - Write an equation using the information you know

x + 7 = 2x - 9

Step 3 - Subtract x from both sides of the equation

x + 7 = 2x - 9
x - x + 7 = 2x - x - 9
7 = x - 9

Step 4 - Add 9 to both sides of he equation and then switch sides

7 = x - 9
7 + 9 = x - 9 + 9
16 = x
x = 16

Now that we have found the value of x, we know that the number is 16.
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