Three numbers are in the ratio 3:7:9. If 5 is subtracted from the second, the resulting numbers are in AP. Find the original numbers.
Let the three numbers which are in the ratio 3:7:9 be 3x, 7x and 9x.
Now, on subtracting 5 from the second number, we get the three numbers as: 3x, 7x - 5 and 9x.
Since, these numbers are in AP, so we have:
2(7x - 5) = 3x + 9x
14x - 10 = 12x
2x = 10
x = 5
Hence, the original three numbers are 3x = 15, 7x = 35 and 9x = 45.
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