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If x, y, and k are positive and x is less than y, then (x + k) / (y + k)  is – OGQR 2020 Question #80 with Solution

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OGQR 2020: Question No. 80

If x, y, and k are positive and x is less than y, then (x + k) / (y + k)  is

Source OGQR 2020
Type Problem Solving
Topic Algebra
Sub-Topic Ratio / Inequality
Difficulty Medium

Solution

Given

In this question, we are given

  • The numbers x, y, and k are positive.
  • Also, x is less than y.

To Find

We need to determine

  • The possible range of (x+ k) / (y+ k).

Approach & Working

We know that

  • x < y

Or, xk < yk

Or, xk + xy < yk + xy

Or, x (y + k) < y (x + k)

Or,  x /y< (x+ k) / (y+ k).

Hence, the correct answer is option B.

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