document.write( "Question 1209778: Flores is is 13yrs younger than Rivero In 8 yrs. the sum of their age will be 41. How old is Flores? \n" ); document.write( "
Algebra.Com's Answer #850384 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Let's solve this problem step-by-step.\r \n" ); document.write( "\n" ); document.write( "**1. Define Variables**\r \n" ); document.write( "\n" ); document.write( "* Let F be Flores' current age. \n" ); document.write( "* Let R be Rivero's current age.\r \n" ); document.write( "\n" ); document.write( "**2. Translate the First Sentence into an Equation**\r \n" ); document.write( "\n" ); document.write( "* \"Flores is 13 years younger than Rivero\": F = R - 13\r \n" ); document.write( "\n" ); document.write( "**3. Translate the Second Sentence into an Equation**\r \n" ); document.write( "\n" ); document.write( "* \"In 8 years\": \n" ); document.write( " * Flores' age will be F + 8. \n" ); document.write( " * Rivero's age will be R + 8. \n" ); document.write( "* \"The sum of their ages will be 41\": (F + 8) + (R + 8) = 41\r \n" ); document.write( "\n" ); document.write( "**4. Simplify the Second Equation**\r \n" ); document.write( "\n" ); document.write( "* F + 8 + R + 8 = 41 \n" ); document.write( "* F + R + 16 = 41 \n" ); document.write( "* F + R = 41 - 16 \n" ); document.write( "* F + R = 25\r \n" ); document.write( "\n" ); document.write( "**5. Solve the System of Equations**\r \n" ); document.write( "\n" ); document.write( "We have two equations:\r \n" ); document.write( "\n" ); document.write( "* F = R - 13 \n" ); document.write( "* F + R = 25\r \n" ); document.write( "\n" ); document.write( "Substitute the first equation into the second equation:\r \n" ); document.write( "\n" ); document.write( "* (R - 13) + R = 25 \n" ); document.write( "* 2R - 13 = 25 \n" ); document.write( "* 2R = 25 + 13 \n" ); document.write( "* 2R = 38 \n" ); document.write( "* R = 19\r \n" ); document.write( "\n" ); document.write( "Now, substitute R = 19 back into the first equation:\r \n" ); document.write( "\n" ); document.write( "* F = 19 - 13 \n" ); document.write( "* F = 6\r \n" ); document.write( "\n" ); document.write( "**6. Answer the Question**\r \n" ); document.write( "\n" ); document.write( "We are asked to find Flores' age, which is F.\r \n" ); document.write( "\n" ); document.write( "**Therefore, Flores is 6 years old.** \n" ); document.write( " \n" ); document.write( " |