Three numbers are in the ratio 1.4.12.
If one is added to the first number, the resulting number
together with other two numbers form a G.P. Find the original
number
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The original numbers are 3,12 and 36
1) The given ratio of 3 numbers is 1:4:12.
2) Let the numbers be x, 4x and 12x
3) Adding 1 to first number, new numbers are: x+1, 4x, 12x
4) The resulting numbers form an GP i.e.
(x+1)/4x = 4x/12x
5) Solving the given relation gives, (x+1)/4x = 1/3 or 3(x+1) = 4x
6) This gives x = 3.
Hence, the numbers are 3, 12 and 36
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Answer:
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