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. Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! 7P + 4K = 111 years (sum of 7 Paul and 4 Kent= 111)
4P - 1 = K (Kent's age is 4 times Paul's -1)
Substitute for K in first equation and solve for P:
7P + 4(4P-1)=111 years
7P + 16P -4=111 years
23P-4=111 years
23P=115 years
P=5 years ANSWER 1 Paul's Age
Find Kent's age:
K=4P-1
K=4(5 years)-1
K=20 years-1=19 years ANSWER 2 Kent's Age
CHECK
Sum of 7 times Paul's age(7*5) and 4 times Kent's age (4*19) is 111
(7*5)+(4*19)=111
35+76=111
111=111
