Father age is 3 time the sum of the ages two children after 5 years his age will be twice the sum of ages of two children find th

2 thoughts on “Father age is 3 time the sum of the ages two children after 5 years his age will be twice the sum of ages of two children find th”

1. Let the present age of father be x years

   Let the present age of father be x yearsAnd, the present age of two children be y years

   ⠀⠀⠀⠀⠀⠀According to the Given Condition

   Father age is 3 time the sum of the age of two children .

   [tex]:\implies[/tex] x = 3y ———-(i)

   Again ,

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

   [tex]:\implies[/tex] x+5 = 2(y+10)

   [tex]:\implies[/tex] x+5 = 2y + 20

   [tex]:\implies[/tex] x -2y = 15 ——–(ii)

   Now, substitute the value of x = 3y in equation (ii) we get

   [tex]:\implies[/tex]3y -2y = 15

   [tex]:\implies[/tex] y = 15

   Putting the value of y = 15 in equation (i) we get

   [tex]:\implies[/tex]x = 3×15

   [tex]:\implies[/tex] x = 45

   Hence, the present age of father is 45 years .

   Reply

2. Let the present age of father be x years

   Let the present age of father be x yearsAnd, the present age of two children be y years

   ⠀⠀⠀⠀⠀⠀According to the Given Condition

   Father age is 3 time the sum of the age of two children .

   [tex]:\implies[/tex] x = 3y ———-(i)

   Again ,

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

   [tex]:\implies[/tex] x+5 = 2(y+10)

   [tex]:\implies[/tex] x+5 = 2y + 20

   [tex]:\implies[/tex] x -2y = 15 ——–(ii)

   Now, substitute the value of x = 3y in equation (ii) we get

   [tex]:\implies[/tex]3y -2y = 15

   [tex]:\implies[/tex] y = 15

   Putting the value of y = 15 in equation (i) we get

   [tex]:\implies[/tex]x = 3×15

   [tex]:\implies[/tex] x = 45

   Hence, the present age of father is 45 years .

   Reply