Respuesta :

[tex]4x+5x+9x=180\\ 18x=180\\ x=10\\ 4x=40\\ 5x=50\\ 9x=90\\\\ 180=40+50+90[/tex]
ratio in which 180 should be divided is 4:5:9
firstly we need to find the total number of portions 
this we can find by adding all the numbers making up the ratio 
4 + 5 + 9 = 18
180 is made of 18 portions 
size of 1 portion = 180 / 18 = 10
when dividing 180 into the respective ratio 4:5:9 the portions are as follows
4 x 10 = 40
5 x 10 = 50
9 x 10 = 90
therefore when we divide 180 in the ratio 4:5:9
the answer we get is
40 :50: 90

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