Question

2. A father's age is three times the sum of the ages
of his two children, but 20 yr hence his age will
be equal to the sum of their ages. Then, the
father's
(a) 30 yr
(b) 40 yr
(c) 35 yr
(d) 45 yr
age is​

Answer 1

Answer:

a) 30yr

Step-by-step explanation:

father age = x

children total age = y

after 20 yrs =

father = x +20

children = y + 20 ×2

x + 20 = y + 40

⇒ 3x + 3 × 20 = 3y + 3 × 40

⇒ 3x + 60 = 3y + 120

⇒ 3x - x = 120 - 60

⇒ 2x = 60

⇒ x = 30