document.write( "Question 1152214: Alison is 26 years younger than her father. Her father’s age will be 3 time her age in 4 years’ time. How old is Alison \n" ); document.write( "
Algebra.Com's Answer #774189 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a = alison's age now.. \n" ); document.write( "f = he father's age now. \n" ); document.write( "a = f - 26 \n" ); document.write( "f + 4 = 3 * (a + 4) \n" ); document.write( "you need to solve these two equations simultaneously. \n" ); document.write( "in the second equation, replace a with f - 26 to get: \n" ); document.write( "f + 4 = 3 * (f - 26 + 4) \n" ); document.write( "combine like terms to get: \n" ); document.write( "f + 4 = 3 * (f - 22) \n" ); document.write( "simplify to get: \n" ); document.write( "f + 4 = 3 * f - 66 \n" ); document.write( "subtract 3 * f from both sides of the equation and subtract 4 from both sides of the equation to get: \n" ); document.write( "f - 3 * f = - 66 - 4 \n" ); document.write( "combine like terms to get: \n" ); document.write( "-2 * f = -70 \n" ); document.write( "divide both sides of this equation by -2 and solve for f to get: \n" ); document.write( "f = -70 / -2 = 35 \n" ); document.write( "her father's current age is 35. \n" ); document.write( "her current age is 35 - 26 = 9. \n" ); document.write( "in 4 years, she will be 13. \n" ); document.write( "in 4 years, he will be 39. \n" ); document.write( "39 is 3 * 13. \n" ); document.write( "father's current age and alison's current age are confirmed to be good. \n" ); document.write( "solution is that alison is currently 9 years old.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |