lean_workbook_plus_72240

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Let $a,b,c$ be positive real numbers such that (i) $c > a$ (ii) $10c = 7a +4b +2024$ (iii) $2024 = \frac{(a+c)^2}{a}+ \frac{(c+a)^2}{b}$ . Find $a +b +c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72240 (a b c : ℝ) (h₁ : a > 0 ∧ b > 0 ∧ c > 0) (h₂ : c > a) (h₃ : 10*c = 7*a + 4*b + 2024) (h₄ : 2024 = (a + c) ^ 2 / a + (c + a) ^ 2 / b) : a + b + c = 10   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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