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.

Asked by Topperlearning User | 22nd Sep, 2017, 09:01: AM

Expert Answer:

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.

Answered by  | 22nd Sep, 2017, 11:01: AM