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Monday, August 15, 2022

When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?

When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?
A8
B6
C4
DNone of these

Correct answer is: None of these

Explanation:

\(\Large \frac{9-x}{15-x}=\frac{15-x}{27-x}\)

\(\Large 243 - 9x - 27x + x^{2}\)

\(\Large 225 - 30x + x^{2}\)

\( 6x = 243 - 225 = 18\)

\(x = 3\)

Nithin
answered undefined

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