Five numbers in ratio

Five integers are in the ratio 1: 2: 3: 4: 5. Their arithmetic mean is 12. Determine the smallest of these numbers.

Correct answer:

a =  4

Step-by-step explanation:

$$\begin{gathered} a:2a:3a:4a:5a=1:2:3:4:5 \\ (a+2a+3a+4a+5a)\mathrm{/}5=12 \\ (a+2\cdot a+3\cdot a+4\cdot a+5\cdot a)\mathrm{/}5=12 \\ 15a=60 \\ a=4=4 \end{gathered}$$

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