document.write( "Question 488434: Craig is 24 years younger than his mother. Together their ages total 56 years. How is each person? Explain how you found your answer. I need help why this question i have been trying for one hour to do it. \n" ); document.write( "
Algebra.Com's Answer #333367 by John10(297)![]() ![]() You can put this solution on YOUR website! Let x be Craig's age and y be his mom's age \n" ); document.write( "The first sentence tell us that: \n" ); document.write( "y = x + 24 \n" ); document.write( "Their sum of ages is 56: \n" ); document.write( "x + y = 56 \n" ); document.write( "You need to solve the system of two linear equations: \n" ); document.write( "y = x + 24 (1) \n" ); document.write( "x + y = 56 (2) \n" ); document.write( "Substitute (1) into (2): \n" ); document.write( "x + (x + 24) = 56 \n" ); document.write( "2x + 24 = 56 \n" ); document.write( "2x = 32 \n" ); document.write( "x = 32/2 \n" ); document.write( "x = 16 \n" ); document.write( "then you find y : \n" ); document.write( "x + y = 56 \n" ); document.write( "16 + y = 56 \n" ); document.write( "y = 56 - 16 \n" ); document.write( "y = 40 \n" ); document.write( "Thus Craig's age is 16 yrs old \n" ); document.write( " His mom is 40 yrs old \n" ); document.write( "John10:) \n" ); document.write( " |