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A ² - B ² = 185

A+B = 37
A = 37-B
A ² = (37-B)² = (37)² - 74B + B²

A ² - B ² = 185
→ (37)² - 74B + B ² - B ² = 185
→ 1369 - 74B = 185
→ -74B = - 1184
→ B = 1184/74 = 16

A + B = 37
A + 16 = 37
A = 37 - 16 = 21

donc A = 21 et B = 16

A ² = (21)² = 441
B ² = (16)² = 256
verification 441-256 = 185
A+B = 16+21 = 37