SOLUTION: The larger of two numbers is 14 less than four times the smaller number. The sum of the two numbers is 66. What are the two numbers?

Question 579129: The larger of two numbers is 14 less than four times the smaller number. The sum of the two numbers is 66. What are the two numbers?
Found 2 solutions by dfrazzetto, mananth:
Answer by dfrazzetto(283) (Show Source): You can put this solution on YOUR website!
x is larger number
y is smaller number
x = 4y-14
x+y = 66
4y-14 + y = 66
5y = 80
y= 16
x = 4(16) - 14 = 64 - 14 = 50
CHECK:
x + y = 50 + 16 = 66 √
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
smaller number be x
larger number = 4x-14

x+4x-14=66
5x-14=66
5x=80
/5
x= 16
First number = 16
second number = 4x-14
=4*16-14
=50
16 & 50 are the numbers
RELATED QUESTIONS
The difference of two numbers is 14. three times the larger number is 45 less than four... (answered by mananth)
The sum of two numbers is 12. Four times the smaller number is two less than the larger.... (answered by hamsanash1981@gmail.com)
Two numbers have a sum of 17. Four times the larger number is 2 less than 6 times the... (answered by mananth)
The sum of two numbers is 66. The smaller number is 10 less than the larger number.... (answered by solver91311)
The larger of two numbers is 12 less than four times the smaller number. The sum of the... (answered by jerryguo41)
The difference between two numbers is 14. Three times the larger number is 45 less than... (answered by Fombitz)
The sum of two numbers is 56. The larger number is 14 more than the smaller number. What (answered by ewatrrr)
the larger of two numbers is nine more four times the smaller number. the sum of the two... (answered by jorel1380)
the sum of two numbers is two. the difference between eight and twice the smaller number (answered by checkley71,ankor@dixie-net.com)