document.write( "Question 940662: The sum of 7 times Paul's age and 4 times Kent's age is 111. Kent is 1 year less than 4 times as old as Paul is. Find each's age. \n" ); document.write( "
Algebra.Com's Answer #573294 by macston(5194)![]() ![]() You can put this solution on YOUR website! 7P + 4K = 111 years (sum of 7 Paul and 4 Kent= 111) \n" ); document.write( "4P - 1 = K (Kent's age is 4 times Paul's -1) \n" ); document.write( "Substitute for K in first equation and solve for P: \n" ); document.write( "7P + 4(4P-1)=111 years \n" ); document.write( "7P + 16P -4=111 years \n" ); document.write( "23P-4=111 years \n" ); document.write( "23P=115 years \n" ); document.write( "P=5 years ANSWER 1 Paul's Age \n" ); document.write( "Find Kent's age: \n" ); document.write( "K=4P-1 \n" ); document.write( "K=4(5 years)-1 \n" ); document.write( "K=20 years-1=19 years ANSWER 2 Kent's Age \n" ); document.write( "CHECK \n" ); document.write( " Sum of 7 times Paul's age(7*5) and 4 times Kent's age (4*19) is 111 \n" ); document.write( "(7*5)+(4*19)=111 \n" ); document.write( "35+76=111 \n" ); document.write( "111=111\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |