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6 terms if a series are in a ratio 4 : 5 : 6 : 7 : 8 : 9. If the difference between the first and the last term is 15 and each term is increased by 12, find the new ratio of the series.

6 terms if a series are in a ratio 4 : 5 : 6 : 7 : 8 : 9. If the difference between the first and the last term is 15 and each term is increased by 12, find the new ratio of the series. Correct Answer 8 : 9 : 10 : 11 : 12 : 13

The difference between the first and last term = 15 Let the terms be in terms of x. 9x – 4x = 5x = 15 X = 15 / 5 = 3 The terms = 4x, 5x, 6x, 7x, 8x and 9x = 12, 15, 18, 21, 24 and 27 On adding 12 to each term we get 24, 27, 30, 33, 36 and 39. Now 24 : 27 : 30 : 33 : 36 : 39 = 8 : 9 : 10 : 11 : 12 : 13

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