Question

Start with some number--->multiply by 4--->add 8--> divide by 3--->theresult is 28. What is the starting numer?

Answer 1

the missing number is 19

Explanation:

let the number = y

multiply the number by 4 = 4 × y = 4y

Add 8 to the result above = 4y + 8

Divide by 3 = (4y + 8)/3

The above result is equal to 28

$\begin{gathered} \frac{4y +8}{3}=28 \\ \text{cross multiply:} \\ 3(28)\text{ = 4y + 8} \end{gathered}$

84 = 4y + 8

subtract 8 from both sides:

84 - 8 = 4y + 8 - 8

76 = 4y + 0

76 = 4y

Divide both sides by 4:

76/4 = 4y/4

19 = y

the missing number is 19