The sum of Bobbi's and Dan's heights is 130 inches. Dan's height subtracted from 3 times Bobbi's height is 118 inches. What are Bobbi's and Dan's heights in inches?

Respuesta :

Answer:

Dan = 68

bobbi = 62

Step-by-step explanation:

Let Bobbi's height = b

Let Dan's height = d

the following equations can be determined from the question

b + d = 130  eqn 1

3b - d = 118  eqn 2

Multiply eqn 1 by 3

3b + 3d = 390  eqn 3

Substract eqn 2 from 3. this gives

4d = 272

d = 68

Substitute for d in eqn 1

b + 68 = 130

b = 62