Stamps and albums

Michail has stored 170 stamps in three albums. In the first album, there are 14 more than in the second, and in the second, there are 1/5 less than in the third. How many stamps are in the first album?

Final Answer:

x =  62

Step-by-step explanation:

$$\begin{gathered} 170=x+y+z \\ x=14+y \\ y=z-z/5=4/5z \\ 170=(14+y)+y+\frac{5}{4}y \\ 170=(14+y)+y+5/4\cdot y \\ 13y=624 \\ y=\frac{624}{13}=48 \\ y=48 \\ z=\frac{5}{4}\cdot y=\frac{5}{4}\cdot 48=\frac{5\cdot 48}{4}=\frac{240}{4}=60 \\ x=14+y=14+48=62 \end{gathered}$$

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