SOLUTION: One number is one third of another number. If the difference between the numbers is 28, find the two numbers.

Question 341844: One number is one third of another number. If the difference between the numbers is 28, find the two numbers.
Found 2 solutions by nyc_function, MathTherapy:
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Here is your system of equations in two variables.

x = (1/3)y
x - y = 28

Can you finish?
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
One number is one third of another number. If the difference between the numbers is 28, find the two numbers.

Let the larger number be L, and the smaller number S.

Since one number is one third of another number, then we can say that L = 3S

Also, since the difference between the numbers is 28, then we can also say that: L - S = 28

Now we have: L = 3S ______eq (i)
L - S = 28___eq (ii)

Substitute 3S for L in eq (ii) to get: 3S - S = 28

2S = 28

S, or the smaller number = , or

Now, substitute 14 for S in eq (i) to get: L = 3(14), or L, or larger number =
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