SOLUTION: Two numbers differ by four. Twice the smaller, increased by the larger is 25. Find the numbers.

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Question 1160877: Two numbers differ by four. Twice the smaller, increased by the larger is 25. Find the numbers.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
system%28-x%2By=4%2C2x%2By=25%29

You can solve however you want to.

Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.

If the smaller number is x, then the larger number is x+4.


The equation is


    2x + (x+4) = 25.


Simplify and solve


    2x + x + 4 = 25

    3x         = 25 - 4 = 21

    x                   = 21/3 = 7.


ANSWER.  The numbers are 7 and 11.


CHECK.   2*7 + 11 = 14 + 11 = 25.    ! Correct !

Solved.