Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Solution

Let the number be x,

According to the given details, the equation becomes

(x – 5/2) × 8 = 3x

Solving for x we get

8x – 40/2 = 3x

Rearranging the like terms and solving we get

8x – 3x = 40/2 

5x = 20

x = 4

Answer

The number is 4.