two numbers are in the ratio 3:5. if 25 is added to first number and 25 is subtracted from the second number.then the resulting numbers bear the ratio 2:3.find the orignal number
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Answer:let the common factor be x.
Therefore ,the ratio be 3x:5x
3x+25/5x-25=2:3
3(3x+25)=2(5x-25)
9x+75=10x-50
9x-10x=-50-75
-x=-125
x=125
Therefore, the original numbers are 3x=3*125=375
5x=5*125=625
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