Question

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?

Answer 1

56

Explanation:

Answer 2

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`