SOLUTION: the sum of two numbers is twenty five. twice the larger number is equal to three times the smaller one. find the two numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: the sum of two numbers is twenty five. twice the larger number is equal to three times the smaller one. find the two numbers.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 439716: the sum of two numbers is twenty five. twice the larger number is equal to three times the smaller one. find the two numbers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=25...................1
2x=3y
2x-3y=0..................2
Eliminate y
multiply (1)by 3
Multiply (2) by 1
3 x + 3 y = 75
2 x + -3 y = 0
Add the two equations
5 x = 75
/ 5
x = 15
plug value of x in (1)
1 x + 1 y = 25
15 + 1 y = 25
1 y = 25-15
1 y = 10