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If 7 times a number is decreased by 33 the result is 15 less than 10 times number . Find the number

Respuesta :

First we set up the equation:
7n-33=10n-15
And then we subtract the common factors:
10n-7n
-15+33
3n= 18
Then we divide:
18/3
n=6
JeanaShupp

Answer:  The number is 6.

Step-by-step explanation:

Let the number be x.

Given statement : "7 times a number is decreased by 33 the result is 15 less than 10 times number ."

i.e. [tex]7\times (x)-33 = 10 \times (x)-15[/tex]

[tex]\Rigtarrow\ 7x-33=10x-15[/tex]

Add 15 on both sides and subtract 7x from both sides , we get

[tex]18=3x[/tex]

Divide both sides by 3 , we get

[tex]6=x[/tex]

or

[tex]x=6[/tex]

Hence, the number is 6.

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