The sum of two numbers is 25. two times the larger number is the same as 3 times the smaller. find the two numbers.

Start by creating equations with the information provided

1) x+y=25

2) 2x=3y

Multiply the 1st equation by 2 then substitute 2x for 3y

1) 2x+2y=50

3y+2y=50

5y=50

y=10

Substitute y for 10 in the original equation

1) x+y=25

x+10=25

x=15

Answer: 10 and 15