Question

Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters.

The system of linear equations that relates Aaron's height (x) and Peter's height (y) is given by: _________. Respresent Aaron's height in centimeters, and Peter's height in centimeters.

Answer 1

Aaron's height is 165 cm

Peter's height is 150 cm

Explanation:

Let Peter's height be = y

Let Aaron's height be = x

Aaron is 15 centimeters taller than Peter, is given by :

`x=y+15`

Five times Aaron's height exceeds two times Peter's height by 525 centimeters. This is given by:

`5x=2y+525` .... (1)

Now substituting
`x=y+15` in (1)

`5(y+15)=2y+525`

`5y+75=2y+525`

`5y-2y=525-75`

`3y=450`

So, y = 150 cm

And x = y+15

So, x =
`150+15=165` cm

Hence, Aaron's height is 165 cm

Peter's height is 150 cm

Answer 2

We represent Aaron's height as variable x and represent Peter's height as variable y. The equations, hence are

x = 15 + y
5x = 2x + 525

The term taller than means addition as well as the terms exceeds by