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# The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

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• The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

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Answer #1 | 22/08 2014 20:06
x-y = 25 y=1/6x so when you substitute: x-(1/6x) = 25 5/6X = 25 x=150/5 =30 then solve for y: 30-y =25 y=5
Positive: 57.142857142857 %
Answer #2 | 22/08 2014 20:04
Bilbo is right but he didn't go far enough. The larger number is six times the size of the smaller number. So altogether they are 7 times the size of the smaller number. 25 is 7 times the smaller number. So the smaller number is 1/7 of 25 or 25/7. The larger number is 6 times that, or 6/7 * 25.
Positive: 50 %
Dominic | 18/08 2017 13:05
The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?
Positive: 50 %
Answer #4 | 22/08 2014 20:02
5
Positive: 44.444444444444 %
Answer #5 | 22/08 2014 20:02
Create two expressions from info provided a is larger number; b is smaller. a - b = 25 a = 6b Substitute the second into the first and solve for b 6b - b = 25 b = 5 Which is what you are asked for. From first expression you can see that a = 30 as a check.
Positive: 42.857142857143 %

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