Question

Three years ago, Rica was thrice as old as Dandy. Three years hence, she will be twice as old. Find their present ages.

Answer 1

Let, present age of Rica be x years and Dandy be y years.
Three years ago-
rica' s age = (x-3) years
Dandy's age = (y-3) years

A.T.Q.
x-3 = 3 (y-3)
x-3 = 3y-9
x-3y = -6...............eq.1

Now, Three years hence -
Rica's age = x+3
Dandy's age = y+3
A.T.Q.
x+3 = 2 (y+3)
x+3 = 2y + 6
x-2y = 3 ..............eq.2

Now, solving both equations.
We get,

x = 21 and y = 9
So,
Present age of Rica is 21years.
and
Present age of Dandy is 9years.

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