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15 votes
Translate solve and check:

"Twice a number, increased by three times the difference of the number and 3 is 11"

User Yamen Nassif
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1 Answer

16 votes
16 votes

Answer:

number is 4

Explanation:

let n be the number then twice the number is 2n and the difference of the number and 3 is n - 3 , so

2n + 3(n - 3) = 11 ← distribute parenthesis and simplify left side

2n + 3n - 9 = 11

5n - 9 = 11 ( add 9 to both sides )

5n = 20 ( divide both sides by 5 )

n = 4

As a check

twice the number is 2 × 4 = 8

increased by 3 times the difference of n and 3 is

8 + 3(4 - 3) = 8 + 3(1) = 8 + 3 = 11 ← Correct

User Martinr
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