Sharing money

A certain sum of money is shared in the ratio 2 :3:9. If the difference between the first and the second is $40, then the amount of money shared is

Correct answer:

x =  560

Step-by-step explanation:

a:b:c=2:3:9 ab=40  a=22+3+9 x b=32+3+9 x  22+3+9 x32+3+9 x=40  x 2/(2+3+9)3/(2+3+9) x=40 0.071429x=40 114x=40 x=560  x=x=560=560

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