SOLUTION: the sum of 2 integers is 25. One less than twice the larger integer is equal to one more than four times the smaller integer. Find the integers

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the sum of 2 integers is 25. One less than twice the larger integer is equal to one more than four times the smaller integer. Find the integers       Log On


   

Question 952323: the sum of 2 integers is 25. One less than twice the larger integer is equal to one more than four times the smaller integer. Find the integers

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = larger integer
y = smaller integer

x + y = 25
2x - 1 = 4y + 1

Rearranging the first equation, we get x = 25 - y. We can substitute this into the second equation.

2x - 1 = 4y + 1
2(25 - y) - 1 = 4y + 1
50 - 2y - 1 = 4y + 1
48 = 6y
8 = y

The integers are 17 and 8.