Question

(Q4). The age of the father is
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 his children. Find
the age of the father.
​

Answer 1

40 years

step by step explanation -

Let the age of father be x years

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.