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=2+3+92 x b=2+3+93 x  2+3+92 x2+3+93 x=40  x 2/(2+3+9)3/(2+3+9) x=40 0.071429x=40 141x=40 x=560  x=x=560=560

x · 2/(2+3+9) - 3/(2+3+9)·x = 40

0.071429x = -40

x = -40/0.07142857 = -560

x = -560

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