When a number is subtracted from 2, the result equals 2 less than one-fifth of…

When a number is subtracted from 2, the result equals 2 less than one-fifth of the number. Find the number

Correct Answer: Option C

Explanation

Let the number be y, subtract y from 2 i.e 2 – y
2 – y = 4

2 – y – 4

2 – 4 – y (frac{x}{5} – 4), multiplying through by 5
5(2 – x) = 5((frac{x}{5})) – 5(4)
10 – 5x = x – 20
-5x – x = -20 – 10
-6x = -30
x = (frac{-30}{-6})
= 5