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(for your subscribers): Let digits = 10a + b. (1) 10a + b + 45 = 10b + a → 9a – 9b = –45 → a – b = –5 → b = a + 5. (2) a * b = (10a + b)/2 – 1 → Multiply: 2ab = 10a + b – 2. Substitute b = a+5: 2a(a+5) = 10a + a+5 – 2 → 2a²+10a = 11a + 3 → 2a² – a – 3 = 0 → (2a–3)(a+1)=0 → a=1.5 or a=–1. So a=1.5? Impossible. Contradiction? Wait – the wording says half of the original number – but original number might be odd → half is not integer. That’s the original twist : The product being "1 less than half" forces us to check integer domains.

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By the time exam day arrived, Mert felt prepared. Having worked through the "original" questions that experts say demand high-level interpretation, he saw the exam not as a hurdle, but as a familiar puzzle he had already solved hundreds of times in his study bank. (for your subscribers): Let digits = 10a + b

Mert, a high school senior with a goal of scoring high on the YKS, initially felt overwhelmed by the "New Generation" math problems. His journey to success truly began when he opened the , a resource widely recognized for its structured approach to diverse difficulty levels. Substitute b = a+5: 2a(a+5) = 10a +