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The sum of Alex's height and Ben's height is 130 inches. Subtracting Alex's height from Ben's height yields one-third of Ben's height. How tall is Ben, in terms of inches?

Respuesta :

BrainyDiksha

Ben is 97.5 inches tall.

Alex is 32.5 inches tall.

mathstudent55

Let Alex's height = a.

Let Ben'x height = b.


a + b = 130

b - a = b/3


Subtract b/3 from both sides int he second equation to obtain:

(2/3)b - a = 0


Add this new equation to the first original equation.


(5/3)b = 130


b = 130 * 3/5


b = 78


a + b = 130


a + 78 = 130


a = 130 - 78


a = 52


Answer: Alex's height is 52 inches, and Ben's height is 78 inches.