Question

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

Answer 1

Answer with Step-by-step explanation:

Let Aaron's height be represented by  x

and Peter's height be represented by y

Aaron is 15 centimeters taller than Peter.

i.e. x=y+15

Five times Aaron's height exceeds two times Peter's height by 525 centimeters.

i.e. 5x=2y+525

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

5(y+15)=2y+525

5y+75=2y+525

5y-2y=525-75

3y=450

Dividing both sides by 3,we get

y=150

Putting the value of y in x=y+15,we get

x=150+15

x=165

Hence,  system of linear equations that relates Aaron's height (x) and Peter's height (y) is:

x=y+15

5x=2y+525

Aaron's height is 165 centimeters

and Peter's height is 150 centimeters

Answer 2

The answer for this problem would be x equal to 430 cm and y is equal to 325. This is computed by establishing the equations. This first equation based on first statement would be x = 15 + y and the second would be 5x = 3y + 525. Then it is solve as follows:

5x = 3y + 525