document.write( "Question 1199605: The sun of Anna's age and Ben's age is 40.Two years ago, Anna was thrice as Ben. Find the Anna's age \n" ); document.write( "
Algebra.Com's Answer #833543 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A = Anna's current age \n" ); document.write( "B = Ben's current age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum of these current ages is 40. \n" ); document.write( "A+B = 40 \n" ); document.write( "Pick A or B to isolate. I'll solve for B. \n" ); document.write( "B = 40-A\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A-2 = Anna's age two years ago \n" ); document.write( "B-2 = Ben's age two years ago\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Two years ago, Anna was thrice as Ben. \n" ); document.write( "A-2 = 3(B-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Apply substitution and solve for \"A\". \n" ); document.write( "A-2 = 3(B-2) \n" ); document.write( "A-2 = 3(40-A-2) ...... replace B with 40-A \n" ); document.write( "A-2 = 3(38-A) \n" ); document.write( "A-2 = 114-3A \n" ); document.write( "A+3A = 114+2 \n" ); document.write( "4A = 116 \n" ); document.write( "A = 116/4 \n" ); document.write( "A = 29 \n" ); document.write( "Anna is currently 29 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = 40-A \n" ); document.write( "B = 40-29 \n" ); document.write( "B = 11 \n" ); document.write( "Ben is currently 11 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Rewind the clock 2 years. \n" ); document.write( "Anna was 29-2 = 27 years old. \n" ); document.write( "Ben was 11-2 = 9 years old. \n" ); document.write( "We see that Anna's past age is exactly triple that of Ben's past age (3*9 = 27). \n" ); document.write( "The answer is confirmed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: Anna's current age is 29 years old \n" ); document.write( " \n" ); document.write( " |