The sum of three numbers is 272 If the ratio between the first and second is 3 5 and that between th...........

Quantitative Aptitude (MTS) Ratio, Proportion

The sum of three numbers is 272. If the ratio between the first and second is 3 : 5 and that between the second and third is 5 : 8,

then the third number is:

This questions was previously asked in

SSC MTS 13th October 2021 Shift-3

136

142

126

236

- The sum of three numbers is 272.

- Let's denote the three numbers as A, B, and C.

- The ratio between A and B is 3:5, meaning A = 3x and B = 5x.

- The ratio between B and C is 5:8, meaning B = 5y and C = 8y.

- Since both expressions for B must be equal, equate 5x = 5y. This implies x = y.

- Substitute the ratio values: A = 3x, B = 5x, C = 8x.

- The equation becomes 3x + 5x + 8x = 272.

- Simplify to 16x = 272.

- Solve for x: x = 17.

- Therefore, C = 8x = 8 * 17 = 136.

- 136 (Option 1 is correct)

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