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# When a certain tree was planted, it was 4 feet tall. The

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Manager
Joined: 13 Apr 2006
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When a certain tree was planted, it was 4 feet tall. The [#permalink]  27 May 2006, 09:05
When a certain tree was planted, it was 4 feet tall. The height increased by the same amount each year for 6 years. At the end of the 6th year, the tree was 1/5 taller than the end of the 4th year. How many feet did the tree increase each year?

3/10
2/5
1/2
2/3
6/5

What is a quick, easy way to do this?
Manager
Joined: 25 Apr 2006
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2/3

4+6x = (4+4x)(6/5)

solving we get x=2/3
Director
Joined: 10 Oct 2005
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let x be the increase.

so after four years tree was 4 + 4x feet tall.

so after six years 4(1+x)/5 + 4(1+x) = 4 + 6x

so x = 2/3
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