Nancy is twice as many years old as her cousin Datta.But three years ago,she was three times older than Datta was.How old is Nancy right now?

Question

nancy is 2 times older than datta

 

Answer 1

n = Nancy's current age

d = Datta's current age

 

Nancy is twice as many years old as Datta:

n = 2d

 

three years ago,she was three times older than Datta:

n-3 = 3(d-3)

 

Since we know n=2d, substitute that into 2nd equation and solve for d

 

2d-3 = 3(d-3)

2d-3 = 3d - 9

9 - 3 = 3d - 2d

6 = d

 

Datta is 6 years old

Nancy is 12