The difference of 2/5 of a number and 8 is 7/5 of that number, what is the number?

Question

 The difference of 2/5 of a number and 8 is 7/5 of that number, what is the number?

Answer 1

x = the number

 

The given information translates into mathematical language as:

 

(2/5)x - 8 = (7/5)x

 

Solve for x:

 

2x - 40 = 7x

 

x = -8