The sum of three numbers is 396 If the ratio between the first and the second number is 7 11 and tha...........

Quantitative Aptitude (MTS) Ratio, Proportion

The sum of three numbers is 396. If the ratio between the first and the second number is 7: 11 and that between the second

and the third number is 11 : 15. then the difference between the first and the third number is:

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SSC MTS 7th October 2021 Shift-1

- The sum of the three numbers is given as 396.

- The ratio of the first to the second number is 7:11. Let the first number be 7x and the second be 11x.

- The ratio of the second to the third number is 11:15. If the second number is 11x, the third number is 15x.

- So, the numbers can be expressed as 7x, 11x, and 15x.

- Sum of the numbers: \(7x + 11x + 15x = 396\).

- This simplifies to \(33x = 396\).

- Solving for x: \(x = 396/33 = 12\).

- The numbers are \(7x = 84\), \(11x = 132\), \(15x = 180\).

- The difference between the first and third number: \(180 - 84 = 96\).

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