Question

three numbers are in continued proposition whose mean proportional is 12 and the sum of the remaining two numbers is 26 . find the number​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let the first number be x.

∴ Third number = 26 – x 12 is the mean proportional of x and (26 – x).

∴ x(26 – x) = 12 x 12

∴ 26x – x2 = 144

∴ x2 – 26x + 144 = 0

∴ x2 – 18x – 8x + 144 = 0

∴ x(x – 18) – 8(x – 18) = 0

∴ (x – 18) (x – 8) = 0

∴ x = 18 or x = 8

∴ Third number = 26 – x = 26 – 18 = 8 or 26 – x = 26 – 8 = 18

∴ The numbers are 18, 12, 8 or 8, 12, 18

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