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Sagot :
Answer:
-4
Step-by-step explanation:
10(2+n)=5n
20+10n=5n
20=-5n
-4=n
The number is n = -4.
What is the product of ten and the sum of two and a number is five times the number?
Given: the product of ten and the sum of two and a number exists five times the number.
Let x be the unknown number:
The product of 5 and the sum of two and the number = 10(2+n)
five times the number = 5n
10(2+n) = 5n
Expand 10(2+n) = 20+10n
20+10n = 5n
Subtract 20 from both sides
20+10n-20 = 5n-20
Simplify
10n = 5n-20
Subtract 5n from both sides
10n-5n = 5n-20-5n
Simplify
5n = -20
Divide both sides by 5
[tex]$\frac{5 n}{5}=\frac{-20}{5}[/tex]
n = -4
Therefore, the correct answer is n = -4.
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