Question

Age of a man is 10 times to his son. After 4 years his age becomes 4 times
to his son. Then find the age of the father.
(a)32
(b) 16
C) 20
(d) 24​

Answer 1

Step-by-step explanation:

present = 10x x

future 4 yrs = 10x+4 x+4

10x + 4 = 4(x+4)

10x + 4 = 4x+16

6x =12

x = 2

age of father = 20 yrs

Answer 2

Step-by-step explanation:

• The age of Son = x
• The age of Father = 10x

After 4 years,

• The age of Son = x + 4
• The age of Father = 10x + 4

Also,

His age becomes 4 times to his Son.

★ According to the Question :

$\longrightarrow$ 4 (x + 4) = 10x + 4

$\longrightarrow$ 4x + 16 = 10x + 4

$\longrightarrow$ 4x - 10x = 4 - 16

$\longrightarrow$ - 6x = - 12

$\longrightarrow$ 6x = 12

$\longrightarrow$ x = 12/6

$\longrightarrow$ x = 2

The age of Son = 2 years

• The age of Father = 10x

$\longrightarrow$ 10 (2)

$\longrightarrow$ 20

The age of Man = 20 years

Therefore, (Option) (C) 20.

The age of the father = 20 years.