Question

Father's age is three times the sum of ages of his two children After 5 years his age will be twice the sum of ages of two children. Find the age of father.

Asap........​

Answer 1

Step-by-step explanation:

Let the age of the sons be x and y.

Given that Father’s age is three times the age of his two children.

Therefore, the present age of the father is 3(x+y)

Now, it is also given, after 5 years, his age will be twice the sum of the ages of his children.

Therefore, after 5 years age of the father will be 3(x+y)+5 and age of the children will be x+5 and y+5.

3(x+y)+5=2(x+5+y+5)

3x+3y+5=2x+10+2y+10

3x+3y+5=2x+2y+20

3x−2x+3y−2y=20–5

x+y=15

Now the age of father was 3(x+y)=3(15)=45 (Putting the value of x+y)

Thus the age of the father is 45

Answer 2

$\bold{\Large\purple{\boxed{{{Hey \: Mate..!!}}}}}$

$\bold{\Huge\red{\boxed{{{Answer}}}}}$

✒ Age is father is 45 years

$\bold{\Huge\blue{\boxed{{{Given}}}}}$

✒ Father's age is three times the sum of ages of his two children.

✒ After 5 years, his age will be twice the sum of ages of two children.

$\bold{\Huge\pink{\boxed{{{To\: Find}}}}}$

✒ Age of Father = ?

$\bold{\huge\green{\boxed{{{Explanation}}}}}$

✏ let the age of father to be 'x' year.

✏ let the age of his 2 sons to be 'y' year.

So,

$\boxed{=> x = 3y .........(1)}$

⭐ Now, A.T.Q (After 5 years, his age will be twice the sum of ages of two children.)

✏ Age of father

$\boxed {\bold{= (x + 5) \: years}}$

✏ Sum of age of his two sons

$\boxed{ \bold{= [ \: y+2(5) \: ] \: years}}$

$\boxed{ \bold{= (y + 10) \: years}}$

-----------------------------------------

⭐ Now Again, A.T.Q (After 5 years, his age will be twice the sum of ages of two children.)

$\boxed{=> x + 5 = 2}$

$\boxed{=> x + 5 = 2y + 20}$

$\boxed{=> x - 2y = 15 .............(2)}$

-----------------------------------------

⭐ From equation (1) and (2)

✏ Putting the value of equation (1) and (2) we get,

$\boxed{=> 3y - 2y = 15}$

$\boxed{=> y = 15 }$

✏ Putting the value of (y = 15) equation (1) we get,

$\boxed{=> x = 3(15)}$

$\boxed{=> x = 45}$

Hence, the age of father is 45 years.

$\orange{\boxed{\boxed{\boxed{5\: Thanks +Follow =Inbox}}}}$