(ii) Fiveyears ago,Nuri was thrice as old as Sonu. Ten years later,Nuri will be twice as old as Sonu. How old are Nuri and Sonu?

 Five years ago,Nuri was thrice as old as Sonu. Ten years later,Nuri will be twice as old as Sonu. How old are Nuri and Sonu?

Let the present age of Nuri  = x year

And present age of Sonu = y year

Five years ago

Age of Nuri = x – 5 years

Age of Sony = y – 5 years

Nuri was thrice as old as Sonu

X- 5  =  3(y – 5)

X – 5  =  35 – 15

X – 3y  =  -15  + 5

X – 3 y  = - 10                        ………..(1)

Ten years later,

Age of Nuri  = x + 10

Age of Sonu = y + 10

Nuri will be twice as old as Sonu.

X+ 10 = 2(y+10)

X + 10  = 2y + 20

X – 2y  = 10                           ………..(2)

X – 3 y  = - 10                        ………..(1)

Subtracting equation (1) from equation (2)  we get

Y  = 20

Plug this value in equation first we get

X  - 3* 20 = -10

X = 60 – 10

X  = 50

Hence age  of Nuri = 50 years and age of Sonu  = 20 years