Question

The sum of the age of son and his father is 40years. after 16years father's age will will be twice the son's age. find the present age of his son​

Answer 1

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Let the Father's Age be x.

Let the Son's Age be y.

ATQ,

Father's Age + Son's Age = 40

x + y = 40

x = 40 - y ....(i)

So,

∴ (x + 16) = 2(y + 16)

⇒ x + 16 = 2y + 32

⇒ x - 2y = 32 - 16

Putting Eq(1), we get

⇒ 40 - y - 2y = 16

⇒ 40 - 3y = 16

⇒ 40 - 16 = 3y

⇒ 24 = 3y

⇒$\dfrac{24}{3}$

=

⇒ 8 = y

Putting Eq (1), we get

⇒ x = 40 - 8

⇒ x = 32

Father's Age = 32 years

Son's Age = 8 years

Answer 2

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