Problem on Solving Age Problem Using System of Linear Equation?

Question

1.) Elena is one-third the age of Toby. Two years from now, Elena will be three-fourths as old as Toby. How old is each?

System Obtained:

Method:

Solving:

X:

Y:

Answer 1

Let age of Elena =x and that of Toby = y.

According to the question,

   x=y/3

  ie, 3x=y or 3x-y=0.This is equation 1

  next, after 2 years,

  age of Elena will be x+2 and age of Toby will be y+2

  the given relation is,

   x+2 = 3/4*y+2

   4x+8 = 3y+6

   simplifying,

   4x-3y=-2  .This is equation 2

   Solving the two equations,

   3x-y=0

   4x-3y=-2

   we get x=2/5

   substituting in any one of the original equations, we get

   x=2/5 and y = 6/5

  Elena is now 2/5 years old and Toby is 6/5 years old

P.S. Check if the question has been rightly typed....this is the solution for the given values.