Ansh is 8 years younger than Ryan, Ryan is three times as old as David, David is x years old. How old are they?

1 Answer
Oct 27, 2016

a) David is #x# years old.
b) Ryan is #3x# years old.
c) Ansh is #3x - 8# years old.

Explanation:

We can use the variables #A# for the age of Ansh, #R# for the age of Ryan and #D# for the age of David.

We know:

1) #A = R - 8#
2) #R = 3D#
3) #D = x#

Substituting equation 3) for the #D# in equation 2) we get:
4) #R = 3x#

And substituting equation 4) for the #R# in equation 1) we get:
5) #A = 3x - 8#

Therefore the ages of the 3 state in terms of #x# are:
a) David is #x# years old.
b) Ryan is #3x# years old.
c) Ansh is #3x - 8# years old.