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

Final Answer:

x =  560

Step-by-step explanation:

a:b:c = 2:3:9 ∣a−b∣ =40  a = 2+3+92​ ⋅  x b = 2+3+93​ ⋅  x  2+3+92​ ⋅ x − 2+3+93​⋅ x = 40  x⋅ 2/(2+3+9)−3/(2+3+9)⋅ x=40 0.071429x=−40 141​x=−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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