Question

Find their present ages.
19. A father is 30 years older than his son. In 12 years, the man will be three times as old as his
son. Find their present ages.

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Answer 1

Answer:

The present age of Son = 3 years

The present age of Father = 33 years

Step-by-step explanation:

Let,

The present age of Son = x

The present age of Father = x + 30

After 12 years,

The age of Son = x + 12

The age of Father = x + 30 + 12

x + 42

Also,

The man will be three times as old as his

son

So,

⇒ 3 (x + 12) = x + 42

⇒ 3x + 36 = x + 42

⇒ 3x - x = 42 - 36

⇒ 2x = 6

⇒ x = 6 / 2

⇒ x = 3

The present age of Son = 3 years

★ Value of x + 30

⇒ 3 + 30

⇒ 33

Therefore,

The present age of Son = 3 years

The present age of Father = 33 years

★ Verification :

12 years, the man will be three times as old as his son

⇒ The age of Son = 3 + 12 = 15

⇒ The age of Father = 33 + 12 = 45

⇒ 45 / 15 = 3

Answer 2

Let , The age of son be " x "

First Condition :

A father is 30 years older than his son

Thus ,

Father's age = x + 30 --- eq (i)

Second Condition :

After 12 years , the man will be three times as old as his son

Thus ,

x + 30 + 12 = 3(x + 12) --- [from eq (i)]

x + 42 = 3x + 36

2x = 6

x = 3

$\sf\therefore \underline{The \: present \: ages \: of \: father \: and \: son \: are \: 33 \: years \: and \: 3 \: years }$