20 10

The ship is twice as old as its boiler was when the ship was as old as the boiler is now.And the combined age of the ship and the boiler is 30yrs.
What is the age of the ship and the boiler?

At present

Age of ship x

Age of Boiler y

Therefore x+y 30 ----------(1)

when x was as old as y i.e (x-y) years before

(x-(x-y)) (1/2)*(y-(x-y))

which is equal to

3y-2x 1 ----(2)

solving (1) and (2)

we get

x 18 and y 12 (Present age)

ship age is x(present age).

boiler age is y(present age).

when x was as old as y i.e (x-y) years before

(x-(x-y)) 2*(y-(x-y))

which is equal to

3y-2x 0 ----(2)

solving (1) and (2)

we get

x 18 and y 12 (Present age)

Let the age of ship be x yrs and that of boiler be y yrs

x+y 30

when ship was as old as boiler is now means x-y yrs before the present age of ship is twice the age of boiler at this time

thus boiler's age is y-(y-x)

therefore x 2(y-(y-x))

on solving 4y 3x

as x+y 30

y 90/y and x 120/7

age of ship x
age of boiler y
given
x+y 30

know tat x 2y

from these two expression
3y 30
y 10 age of the boiler

since age of the ship 9x0 2*age of the boiler
x 2*10
x 20