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

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Question 1090976: The sum of two 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 ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
x + y = 25,        (1)
2x - 1 = 4y +1.    (2)


From equation (1, express u = 25-x and substitute it into equation (2).
You will get a single equation for one unknown


2x - 1 = 4*(25-x) + 1.

Simplify and solve for x:

2x - 1 = 100 - 4x + 1,

2x + 4x = 100 + 1 + 1,

6x = 102  ====>  x = 102%2F6 = 17.


Answer.  x = 17,  y = 25-17 = 8.

Solved.