SOLUTION: x and y are two numbers where x is greater than y. the sum of the two numbers is 20. twice the larger number is equal to 3 times the smaller one. (a) Write down a [pair of simul

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: x and y are two numbers where x is greater than y. the sum of the two numbers is 20. twice the larger number is equal to 3 times the smaller one. (a) Write down a [pair of simul      Log On


   



Question 744845: x and y are two numbers where x is greater than y.
the sum of the two numbers is 20.
twice the larger number is equal to 3 times the smaller one.
(a) Write down a [pair of simultaneous equations in x and y.
(b) Solve the simultaneous equations in (a), to find the two numbers.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=20>>>>>>>>>>>>>>>>>>>>(1)
2x=3y
2x-3y=0>>>>>>>>>>>>>>>>>>(2)
multiply first equation by 3
3x+3y=60
add to (2)
5x=60
x=12
substitute x=12 in equation (1)
x+y=20
12+y=20
y=20-12
x=12
y=8
x=12 & y =8