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RRB Junior Engineer / DMS / CMA 2019 · Question 124 of 3719

Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, find the numbers.

Mathematics - Ratio and Proportion

  1. Aa. 8, 18
  2. Bb. 9, 12
  3. Cc. 12, 16
  4. Dd. 6, 8Correct

Answer: D. d. 6, 8

Explanation

Let there is a common term be x Then the numbers will be 4x and 3x. According to the question(4x) ² = 8(3x) ² - 224 8(3x) ² - (4x) ² = 224 72x² - 16x² = 224 56x² = 224 x² = 4 x = 2, then numbers =4x =4×2=8 and 3x =3×2 =6. numbers 6,8

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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