Five year ago Rahul was thrice as old as Monu ten year later Rahul will be twice as old as Monu how old are Rahul and Monu
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let monu age be x yrs
rahul age be yrs
5 yrs ago,
age of monu = x-5 yrs
age of rahul = y-5 yrs
given, rahul was thrice as old as monu
y-5 = 3(x-5)
y-5 =3x -15
3x-y = 10 ------- (I)
again
10 yrs later
age of monu = x +10 yrs
age of rahul = y +10 yrs
rahul will be twice as old as monu
y+10 = 2(x+ 10)
y+10 = 2x +20
2x -y = -10 ----------(ii)
from eqn 1 and 2
we get
3x -y = 10
2x - y = -10
(-) (+) (+)
__________
x =20 yrs
so y = 3x -10 ---------- from (I)
= 3×20 -10
= 60 -10 = 50 yrs
monu = x = 20 yrs
rahul= y =50 yrs
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