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# The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old asAni and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30years. Find the ages of Ani and Biju.

8 years ago

hi shreesha

let the ages of ani and biju be x and y

so mod of x - y = 3----1  (as we dont know who is elder thats why mod)

let age of Dharam be z and Cathy be w

z = 2x-----2   ,    y = 2 w---------3

z - w = 30 -------4

so there are 4 equations and 4 variables you can easily solve them

jitender

2 years ago
Let Ani age = x
Bizu age=Y
Dharma age=a
Cathy age=b
x-y=3_.......(1)
a=2x.......(2)
2b=Y......(3)
a-b=3 (given)
Put eq 2 nd 3
2x-y/2= 30
4x-y=60....(4)

FROM eq 1 and 4
4(3+y) - y =60
12+4y-y= 60
Y (biju)=16 yrs
Put y value in eq 1

x-16=3
X(Ali)=19 yrs
Put x and y in 2 and 3 eq
We get
a(dharma)=38 years
B( cathy) =8 years

X= 19