When x is subtracted from each of 19 28 55 and 91 the numbers so obtained in this order are in propo...........

Quantitative Aptitude (CGL) Ratio, Proportion

When x is subtracted from each of 19, 28, 55 and 91. the numbers so obtained in this order are in proportion. What is the value

of x?

This questions was previously asked in

SSC CGL 13th August 2021 Shift-1

- You need to find a value of x such that when x is subtracted from each number 19, 28, 55, and 91, the resulting numbers are in proportion.

- This means that (19 - x)/(28 - x) = (55 - x)/(91 - x).

- Solving the proportion gives: (19 - x)(91 - x) = (28 - x)(55 - x).

- Expanding both sides: (19 - x)(91 - x) = 1729 - 110x + x^2 and (28 - x)(55 - x) = 1540 - 83x + x^2.

- Equating and simplifying: 1729 - 110x + x^2 = 1540 - 83x + x^2 leads to 1729 - 1540 = 110x - 83x.

- Simplifying further gives: 189 = 27x, so x = 7.

- Option:2, 7 is the correct answer.

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