Question

Divide 30 in a ratio of 3:2

Answer 1

3+2=5
30 divided by 5=6
6X3=18
6X2=12
18+12=30
18:12

Answer 2

`Other\ method:\\\\x;y-searches\\\\ \left\{\begin{array}{ccc}x+y=30&|subtract\ y\ from\ both\ sides\\x:y=3:2\end{array}\right\\\left\{\begin{array}{ccc}x=30-y&(1)\\(x)/(y)=(3)/(2)&(2)\end{array}\right\\\\subtitute\ (1)\ to\ (2):\\\\(30-y)/(y)=(3)/(2)\ \ \ \ |cross\ multiply\\\\(3)(y)=(2)(30-y)\\3y=60-2y\ \ \ \ |add\ 2y\ to\ both\ sides\\5y=60\ \ \ \ |divide\ both\ sides\ by\ 5\\\boxed{y=12}`


`Put\ the\ value\ of\ y\ to\ (1):\\x=30-12\\\boxed{x=18}\\\\Answer:\boxed{\left\{\begin{array}{ccc}x=18\\y=12\end{array}\right\to18:12}`