Question

The age of father is twice the sum of the ages of his twi children.after 20 years hia age will be equal to the sum of the ages od his two children.find the age of the father

Answer 1

let the present age of father be x and the sum of the present ages of his two children be y
it is given that the age of father is twice the sum of the ages of his children
∵x=2y
x-2y= 0..................(eq1)
fathers age after 20 years= x+20 and sum of the ages of his children=y+40 since there are two children
it is given that after twenty years his age will be equal to the sum of the ages of his two children
∵x+20=y+40
x-y=20.....................(eq 2)
from equations 1 and 2
BY ELIMINATION METHOD
x+40
hence fathers age is 40

Answer 2

Answer:

40

Step-by-step explanation:

Father =x

Two childrens=y+y=2y

X=2y---------(1)

X+20=y+40

X-y=20-------(2)

(1) in (2)

2y-y=20

Y=20

X=2(20)

X=40