Question 410485
The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers
Sol'n:
let x-the larger number
y-the smaller number

x-y=6 ---(1)
2x+2y=36 ---(2)

divide (2) by 2
 x+y=18 ----(2')

add two equations:

x-y=6
x+y=18
------
2x=24
x=12 

for y:from (1)
y=x-6
y=12-6
y=6


thus, x=12 & y=6 ---answer