SOLUTION: The sum of two numbers is 109. One number is 25 more than three times the other number. Find the two numbers.

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Question 1125738: The sum of two numbers is 109. One number is 25 more than three times the other number. Find the two numbers.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by ikleyn(52776) About Me  (Show Source):
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            You can easily solve it mentally. 


Diminish "one number" by 25, for a minute.


Then the sum of 109 will decrease by 25 and will become 109 - 25 = 84.


Now it is 4 times the "other number".


Hence, the "other number" is 84/4 = 21.


Then the "one number" is 109 - 21 = 88.


Answer.  The numbers are 88 and  21.