## 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__

__Given__

In this question, we are given

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

__To Find__

__To Find__

We need to determine

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

__Approach & Working__

__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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