Question

A father is twice the age of his two children. After 20 years, the age of the father will be equal to the sum of the ages of the two children. So find out the current age of the father?​

Answer 1

Step-by-step explanation:

Let the age of one of his children be y years and age of other children be z years

From given information,

x=2×(y+z) ......(1)

After 20 years,

(x+20)=(y+20)+(z+20)  .......(2)

Substituting value of (1) in (2), we get

2×(y+z) +20=y+z+40

2y+2z−y−z=40−20

y+z=20    ......(3)

Substituting value of (3) in (1), we get

x=2×(20)

⇒x=40

Age of father is 40 years.