document.write( "Question 1209753: my brother is 7 years younger than me. Twice my age plus 3 times his age is 99.What are our ages?
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document.write( "Plz use the singapore model method. I have the answer but can not understand how to show the working out using the bar model.\r
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Algebra.Com's Answer #850119 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Let's break this problem down step-by-step:\r \n" ); document.write( "\n" ); document.write( "1. **Define Variables:** \n" ); document.write( " * Let \"x\" represent your age. \n" ); document.write( " * Let \"y\" represent your brother's age.\r \n" ); document.write( "\n" ); document.write( "2. **Translate the First Sentence into an Equation:** \n" ); document.write( " * \"My brother is 7 years younger than me.\" \n" ); document.write( " * This translates to: y = x - 7\r \n" ); document.write( "\n" ); document.write( "3. **Translate the Second Sentence into an Equation:** \n" ); document.write( " * \"Twice my age plus 3 times his age is 99.\" \n" ); document.write( " * This translates to: 2x + 3y = 99\r \n" ); document.write( "\n" ); document.write( "4. **Solve the System of Equations:** \n" ); document.write( " * We have two equations: \n" ); document.write( " * y = x - 7 \n" ); document.write( " * 2x + 3y = 99 \n" ); document.write( " * Substitute the first equation (y = x - 7) into the second equation: \n" ); document.write( " * 2x + 3(x - 7) = 99 \n" ); document.write( " * Simplify and solve for x: \n" ); document.write( " * 2x + 3x - 21 = 99 \n" ); document.write( " * 5x - 21 = 99 \n" ); document.write( " * 5x = 120 \n" ); document.write( " * x = 24\r \n" ); document.write( "\n" ); document.write( "5. **Solve for y:** \n" ); document.write( " * Now that you know x = 24, substitute it back into the equation y = x - 7: \n" ); document.write( " * y = 24 - 7 \n" ); document.write( " * y = 17\r \n" ); document.write( "\n" ); document.write( "**Answer:**\r \n" ); document.write( "\n" ); document.write( "* Your age is 24 years old. \n" ); document.write( "* Your brother's age is 17 years old. \n" ); document.write( " \n" ); document.write( " |