SOLUTION: The sum of two numbers is 25.If 2/3 of the smallest one is 2 more than 1/4 of the larger one,find the two integers

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Question 1011993: The sum of two numbers is 25.If 2/3 of the smallest one is 2 more than 1/4 of the larger one,find the two integers
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S=smaller number; L=larger number
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S%2BL=25
L=25-S
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%282%2F3%29S=%281%2F4%29L%2B2
2S=%283%2F4%29L%2B6
8S=3L%2B24
8S=3%2825-S%29%2B24
8S=75-3S%2B24
11S=99
S=9
ANSWER 1: The smaller number is 9.
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L=25-S=25-9=16
ANSWER 2: The larger number is 16
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CHECK:
%282%2F3%29S=%281%2F4%29L%2B2
%282%2F3%299=%281%2F4%2916%2B2
6=4%2B2
6=6
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