The sum of two numbers is 25. If thrice the smaller number is subtracted from twice the larger number, the subtraction is also 25. Find the numbers.
x+y=25 ………..(1)
3y−2x=25
−2x+3y=25
2x−3y=−25 ………..(2)
2x+2y=50
2x−3y=−25
_____________
5y=75
y=755=15
y=15
x+y=25
x=25−y
x=25−15
x=10.