Problema Solution
nine times the difference of a number and 5 is the same as 5 increased by nine times the number plus five times the number find the number
Answer provided by our tutors
let 'x' be the number
1) if x>=5
9(x - 5) = 5 + 9x + 5x
9x - 45 = 5 + 14x
5x = - 50
x = -10 is not a solution since x >=5
2) if x < 5
9(5 - x) = 5 + 9x + 5x
45 - 9x = 5 + 14x
23x = 50
x = 50/23 <5
thus x = 50/23 is the number we are looking for.