Question

find a number such that if you add 8 and divide the result by 4 you will get the same answer as if you subtracted 3 from the original number and divided by 2

Answer 1

14

Explanation:

First condition

Let the number be x

`(x+ 8)/(4) = (x - 3)/(2)` Cross multiply

2(x + 8) = 4*(x - 3) Remove the brackets

2x + 16 = 4x - 12 Add 12 to both sides

2x + 16 + 12 = 4x - 12 + 12 Simplify

2x + 28 = 4x Subtract 2x from both sides

2x - 2x + 28 = 4x - 2x Simplify

28 = 2x Divide both sides by 2

28/2 = 2x/2

x = 14