La somme de leurs âges est \( y + 2y + (y + 3) = 42 \) ans.
["Understanding the Equation: La Somme de Leurs ges Égale 42 Ans", "If you’ve ever encountered a puzzle involving ages, equations like La somme de leurs âges est ( y + 2y + (y + 3) = 42 ) offer a clear way to solve age-related word problems. This article explains how to interpret, solve, and appreciate this classic algebra problem.", "---", "### Decoding the Age Equation", "The age equation given is:", "[\ny + 2y + (y + 3) = 42\n]", "This expression represents the combined ages of three individuals. Breaking it down:", "- The first person is ( y ) years old.\n- The second person is ( 2y ) years old — twice the age of the first.\n- The third person is ( y + 3 ) — three years older than the first.", "Together, their total age sums to 42 years.", "---", "### Step-by-Step Solution", "To find the value of ( y ), follow these simple algebraic steps:", "1. Combine like terms:\n[\ny + 2y + y + 3 = 42\n]\n[\n(1 + 2 + 1)y + 3 = 42\n]\n[\n4y + 3 = 42\n]", "2. Isolate the variable:\nSubtract 3 from both sides:\n[\n4y = 42 - 3\n]\n[\n4y = 39\n]", "3. Solve for ( y ):\n[\ny = \frac{39}{4} = 9.75\n]", "---", "### Finding Each Age", "Now substitute ( y = 9.75 ) back into the expressions:", "- First person: ( y = 9.75 ) years\n- Second person: ( 2y = 2 \ imes 9.75 = 19.5 ) years\n- Third person: ( y + 3 = 9.75 + 3 = 12.75 ) years", "Check the total:\n[\n9.75 + 19.5 + 12.75 = 42 \quad \checkmark\n]", "---", "### Real-World Application", "This type of equation is commonly used in math education to help students develop logical reasoning and problem-solving skills. It shows how real-life scenarios—like calculating ages—can be modeled mathematically.", "---", "### Key Takeaways", "- The equation represents a real-world situation using algebraic expressions.\n- Combining like terms simplifies solving for the unknown.\n- Each person’s age is expressed through variables linked by simple rules.\n- Verification ensures accuracy and reinforces understanding.", "---", "Conclusion\nUnderstanding equations like La somme de leurs âges est ( y + 2y + (y + 3) = 42 ) strengthens your ability to model and solve everyday problems with math. With practice, age puzzles become intuitive—and rewarding.", "For further challenge, try modifying the total age or adjusting the relationships between ages to explore different solutions!", "---", "Meta Title: Solve La Somme de Leurs ges : Équation & Solution Élégante\nMeta Description: Découvrez comment résoudre l’équation algébrique ( y + 2y + (y + 3) = 42 ) pas à pas, et trouvez les âges des trois personnes dont la somme est 42 ans.\nKeywords: équation âge, résoudre âge, la somme de leurs âges, 42 ans, algèbre primaire, résolution d’équations, mathématiques pratiques"]
