Decide Whether to Repair or Replace a Broken Appliance

The engineer has quoted you a repair cost that is either obviously worth it or obviously not, and you cannot currently tell which. This weighs the repair against a replacement, factoring in age, energy use, and hassle, and gives you a straight recommendation in three sentences plus one question worth asking before you commit.

My [washing machine or appliance] has broken. It is [age] years old, a repair would cost {REPAIR_COST}, and a similar new one costs [replacement price]. Weigh up the repair against replacement, factoring in typical remaining lifespan, energy efficiency, and hassle. Give me a clear recommendation in three sentences, plus one follow up question I should ask the repair engineer before deciding.