Question

the age of a man is the twice the sum of the ages of his two children.after 20 years his age will be equal to the sum of the ages of gis childrens at that time find the present age of the man​

Answer 1

Answer:

here's ur answer...hope it help...*purple hearts*

Answer 2

Given:

The age of the man is twice the sum of the ages of his two children.

To find:

The present age of the man.

Solution

x = 2(u + v) equation (1)

After 20 years,

A man's age will be = x + 20

The age of his children v will be = v + 20

The age of his children u will be = u + 20

A man's age will be equal to the sum of the ages of his children at that time.

x + 20 = (u + 20) + (v + 20)

x + 20 = u + v + 40

x - 20 = u + v equation (2)

From equation (1) and equation (2) find the value of x.

$\sf \: x = 2(u + v) \\ \sf \: u + v = \frac{x}{2}$

Putting the value in equation (3)

$\sf \: x - 20 = u + v \\ \sf x - 20 = \frac{x}{2} \\ \sf 2(x - 20) = x \\ \sf 2x - 40 = x \\ \sf \: 2x - x = 40 \\ \sf x = 40$

$\boxed{ \purple{ \sf \therefore \: The \: present \: age \: of \: a \: man \: is \: 40.}}$