5 years ago maruti was thrice old as Sonu . 10 years later maruti will be twice as old as Sony how older maruti or sonu
Answers
Step-by-step explanation:
let the age of maruti be x years and
let the age of sonu be y years
5 years ago ,the age of maruti is x-5
5 years ago the age of sonu is y-5
ATP,
x-5=3(y-5)
on further simplification we get,
x-3y+10=0-------------->equation 1
in second condition
10 years later the age of maruti is x+10
10 years later the age of sonu is y+10
ATP,
x+10=2(y+10)
on further simplification we get
x-2y-10=0-------------->equation 2
by elimination method we get
y=20
on substituting y value in equation 1
we get x value =50
there fore the age of maruti is 50 years
and the age of sonu is 20 years old
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Hey friend,
Here is the solution :-
Let Maruti's age be x and Sonu's age be y
First condition = Five years ago,
Maruti's age = ( x - 5 )
Sonu's age = ( y - 5 )
Maruti was thrice the age of Sonu
=> ( x - 5 ) = 3 ( y - 5 )
=> x - 5 = 3y - 15
=> x - 3y = - 10 ...(eqn. 1)
Second condition = Ten years hence,
Maruti's age = ( x + 10 )
Sonu's age = ( y + 10 )
Maruti will be twice of Sonu
=> ( x + 10 ) = 2 ( y + 10 )
=> x + 10 = 2y + 20
=> x - 2y = 10 .....(eqn. 2)
Now subtract the eqn. 2 from eqn. 1
=> x - 3y = - 10
(-) x - 2y = 10
(-) (+) (-)
=> y = 20
Now, substitute y = 20 in eqn. 1
=> x - 3 (20) = - 10
=> x - 60 = - 10
=> x = - 10 + 60
=> x = 50
So, here we get Maruti's age (x) = 50 years and that of Sonu (y) = 20.