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raketka [301]
3 years ago
5

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

solve for the number?
Mathematics
1 answer:
Alona [7]3 years ago
8 0
   
\displaystyle \\ 
\text{We use the following equation:} \\  \\ 
 \frac{n}{2} = n - 38 \\  \\ 
We solve for n: \\  \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\  \\  
n = 2 \times  n - 2 \times 38 \\  \\ 
n = 2n - 76 \\  \\ 
2n - n = 76 \\  \\ 
\boxed{n = 76} \\  \\ 
\text{Verification: } \\  \\ 
\frac{n}{2} = n - 38 \\  \\ 
\frac{76}{2} = 76 - 38 \\  \\ 
\boxed{38 = 38  ~~~ Correct }



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