Question

7. Ara and Vartan each have a pomegranate tree growing in their backyards. Ara’s tree is two times taller than Vartan’s. If the total height of the two trees is 25 feet, then how tall is each tree?

Answer 1

The height of Ara's tree is 50/3 feet while Vartan's tree is 25/3 feet high

Explanation:

Represent Ara's tree with A and Vartan's with V

Given

`A = 2V`

`A + V = 25`

Required

Determine A and V

`A = 2V`

`A + V = 25`

Substitute 2V for A in
`A + V = 25`

`2V + V= 25`

`3V = 25`

Divide both sides by 3

`V =(25)/(3)\ feet`

Recall that
`A = 2V`

So:

`A = 2 * (25)/(3)\ feet`

`A = (2 * 25)/(3)\ feet`

`A = (50)/(3)\ feet`

Hence, the height of Ara's tree is 50/3 feet while Vartan's tree is 25/3 feet high