how do i simplify a ratio pls help im stuck

Question

the question says that:

martin is 6 years old and ralph is 18 years old and brain is 30 years old

simplify the ratio

6:18:30=_:_:_

then it says:

divide 288 between martin,ralph and brain in the ratio of their ages

 

please help me

Answer 1

6:18:30 = 1:3:5                 [dividing each number by 6 ]

sum of the ratio = 1+3+5   [ martin share = 1part; ralph share = 3parts;

                                                          brain share = 5 parts]               

                             = 9 -------------------(1)

dividing 288 among 3 members according to their ratios

9 parts = 288            [ number of parts = amount which is distributed ]

1part = 288/9

1part = 32----------------------------(2)

martin share = 1part  = 1 * 32 = 32

ralph share = 3parts = 3*32 = 96

brain  share = 5parts = 5 *32 = 160