Question

The age of father is twice the sum of the ages his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of father.

Answer 1

Answer:

40 year

Explanation:

Let the sum of ages of those children be a and hence age of father should be twice of a that is 2a.

 Sum of ages of children = a

 Age of father = 2a

             After 20 years:

Sum of ages of children = a + 20 + 20

                                         = a + 40( as both ages increase by 20 )

Age of father = 2a + 20

   According to question: after 5 year

⇒ age of father = sum of ages of child.

⇒ 2a + 20 = a + 40

⇒ 2a - a = 40 - 20

⇒ a = 20

         Hence the present age of father is 2a = 2(20) = 40 year

Answer 2

✯✯ QUESTION ✯✯

The age of father is twice the sum of the ages his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of father.

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✰✰ ANSWER ✰✰

$\longmapsto\tt{Let\:the\:sum\:of\:ages\:of\:Child.\:be=x}$

As Given that Father's age is twice the sum of ages of his two children..So,

$\longmapsto\tt{Father's\:Age=2x}$

➙After 20 years : -

$\longmapsto\tt{Sum\:of\:ages\:of\:children=x+20+20}$

$\longmapsto\tt{x+40}$

☛A.T.Q : -

Now , After Five Years : -

$\longmapsto\tt{2x+20=x+40}$

$\longmapsto\tt{2x-x=40-20}$

$\longmapsto\tt{1x=20}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{x}\orange{=}\purple{20}}}$

_______________________

$\longmapsto\tt{Present\:Age\:of\:Father=2x}$

$\longmapsto\tt{2(20)}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\red{\sf{40\:years.}}}}}}}$