Five numbers in ratio

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

Correct result:

a =  4

Solution:

$a:2a:3a:4a:5a=1:2:3:4:5 \ \\ \ \\ \ \\ (a+2a+3a+4a+5a)/5=12 \ \\ \ \\ (a+2 \cdot \ a+3 \cdot \ a+4 \cdot \ a+5 \cdot \ a)/5=12 \ \\ \ \\ 15a=60 \ \\ \ \\ a=4$

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