SOLUTION: when the sum of money is dividede betwwen two people in the ration 4:3,the small share M500 is less than the greater share.How much is the original sum?

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Question 1068809: when the sum of money is dividede betwwen two people in the ration 4:3,the small share M500 is less than the greater share.How much is the original sum?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
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4 : 3
for same ratio
x : x-500


x%2F%28x-500%29=4%2F3

3x=4%28x-500%29
3x=4x-2000
x=2000

Original sum,
2000%2B%282000-500%29
2000%2B2000-500
4000-500
3500

Answer by ikleyn(52839) About Me  (Show Source):
You can put this solution on YOUR website!
.
The original sum is M highlight%283500%29.