Five years ago, the age of Samyak was four times
the sum of ages of his two children. If twice the
present age of Samyak is thirteen years less than
five times the sum of the present ages of his two
children, then seven years hence the age of Samyak
will be
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Let the present age of A be y and of B is x
So according to 1st condition
⇒4(x−5)=y−5
⇒4x−20=y−5
⇒y=4x−15.....(i)
Now according to 2
nd
condition
⇒5+y=2(x+5)
∴5+(4x−15)=2(x+5)
∴x=10
now from eq. (i) we get,
⇒y=25
∴ y=25 and x=10
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