SOLUTION: Two numbers have a sum of 17. Four times the larger number is 2 less than 6 times the smaller number. What are the numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Two numbers have a sum of 17. Four times the larger number is 2 less than 6 times the smaller number. What are the numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 698968: Two numbers have a sum of 17. Four times the larger number is 2 less than 6 times the smaller number. What are the numbers?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the numbers be x & y (x>y)
x+y=17.........(1)
4x=6y-2
4x-6y = -2............(2)
Multiply equation (1) by 6 and add the equation to (2)
6x+6y=102
4x-6y=-2
10x= 100
/10
x=10
One nmber is 10 & other will be 7