What number must be subtracted from each of the numbers 55 23 43 and 19 so that the new values are i...........

Quantitative Aptitude (MTS) Ratio, Proportion

What number must be subtracted from each of the numbers 55, 23, 43 and 19, so that the new values are in proportion?

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SSC MTS 6th July 2022 Shift-1

Let's solve the problem step by step:

- We want the numbers (55 - x), (23 - x), (43 - x), and (19 - x) to be in proportion.

- This means: (55 - x)/(23 - x) = (43 - x)/(19 - x)

- Cross multiply: (55 - x)(19 - x) = (43 - x)(23 - x)

- Expanding both sides:

- 55×19 - 55x - 19x + x² = 43×23 - 43x - 23x + x²

- 1045 - 74x + x² = 989 - 66x + x²

- The x² terms cancel out, so:

- 1045 - 74x = 989 - 66x

- Bring like terms together:

- 1045 - 989 = 74x - 66x

- 56 = 8x, so x = 7

- Option 1: 9 (Incorrect, as shown by calculation)

- Option 2: 11 (Incorrect)

- Option 3: 7 (Correct; this is the correct value)

- Option 4: 5 (Incorrect)

Correct Answer:

Option:3 - 7

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