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A number is doubled, then decreased by $13.7$. The result is greater than $125.28$. What is the smallest integer that satisfies this condition?

User Ewok
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2 Answers

15 votes
15 votes

Answer:

56

Explanation:

User Vitaly Kulikov
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23 votes
23 votes

let's say the number is "a", so


\stackrel{doubled}{2a}~~ \stackrel{decreased}{-} ~~\stackrel{by~this~much}{13.7} ~~ \stackrel{greater~than}{ > } ~~ 125.28 \\\\\\ 2a > 125.28-13.7\implies 2a > 111.58\implies a > \cfrac{111.58}{2}\implies a ~~ > ~~ 55.79

User Or Neeman
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