The distance between two cities is 10km more than one third of the distance between them?

I understand the answer is 15 km - but how do i put the answer in an algebraic equation?

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- Sep 14th 2009, 07:55 PMEyesThatSparkle02Confused about how to solve simple problem...?
*The distance between two cities is 10km more than one third of the distance between them*?

I understand the answer is 15 km - but how do i put the answer in an algebraic equation? - Sep 14th 2009, 07:59 PMProve It
- Sep 14th 2009, 08:00 PMI-Think
Let the distance between the two cities be X

X is 10km more than a third the distance between them

Hint: When they say 1/3 distance between them, they're referring to X

Algebraically

Edit: Beaten by Prove It, I'm slow tonight - Sep 14th 2009, 08:17 PMEyesThatSparkle02
Thanks guys,

New Question: (Similar)

If a 5 cm piece of wire is cut into two parts such that a square is formed by bending one part will have four times the area of a square formed by bending the other part, what is the length of the longer part? - Sep 14th 2009, 11:37 PMProve It
Let be the perimeter of one of the squares (length of one of the pieces of wire).

Its side length is therefore .

Thus its area is

.

Let be the perimeter of the other piece.

Clearly .

Its side length is therefore .

Thus its area is

.

We also know that

Therefore

.

Since you can not have a negative length

.

Remembering that the other length

.

Put this into the calculator and you will know how many cm this length is.