Two numbers are in the ratio 4: 5 . If 17 is subtracted from each, the new numbers are in the ratio 11: 14 . If 20 is added to each of the original nu - Quantitative Aptitude MCQ SSC CGL 2026 | ExamTest.live

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Two numbers are in the ratio 4 : 5 . If 17 is subtracted from each, the new numbers are in the ratio 11 : 14 . If 20 is added to each of the original numbers, then the ratio becomes:

Solution & Step-by-step Explanation

Let the original numbers be 4 x and 5 x .According to the problem: \frac{4 x - 17}{5 x - 17} = \frac{11}{14} 14 (4 x - 17) = 11 (5 x - 17) 56 x - 238 = 55 x - 187 56 x - 55 x = 238 - 187 x = 51 Original numbers:First number = 4 \times 51 = 204 Second number = 5 \times 51 = 255 Now, 20 is added to each of the original numbers:New first number = 204 + 20 = 224 New second number = 255 + 20 = 275 The new ratio is 224 : 275 .

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Two numbers are in the ratio 4 : 5 . If 17 is subtracted from each, the new numbers are in the ratio 11 : 14 . If 20 is added to each of the original numbers, then the ratio becomes:

224 : 275

275 : 241

241 : 275

224 : 241

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