Question

A man age is thrice as old as his son is . After 14 years the man's age will be twice as oldas his son ,then present age of the son must be ?
1). 42 years.
2). 14 years.
3).12 years .
4).36years.​

Answer 1

Given:-

☆A man's age is thrice his son

☆14 years later,man's age will be twice as old as his son

To find:-

☆Present age of the son

Solution:-

•At present

=>Let the son's age be x years.

=>Thus,age of his father(the man)=3x years

•14 years later:-

=>Son's age= x+14 years

=>His father's age(the man)=3x+14 years

•Now,As Per Question:-

=>3x+14=2(x+14)

=>3x+14=2x+28

=>3x-2x=28-14

=>x=14

Thus,present age of the son is 14 years and hence the correct option is (2).

Answer 2

Given:-

• A man age is thrice old as his son is.

.

• After 14 years the man's age will be twice as old as his son

To Find:-

• The Present age of Son.

Now,

Let the son age be "x"

Atq.

→ Father's Present age = 3x

After 14 year

→ Father's age = 3x + 14

→ Son's age = x + 14

→ Father' age = 2 (Son's age)

→ 3x + 14 = 2( x + 14 )

→ 3x + 14 = 2x + 28

→ 3x - 2x = 28 - 14

→ x = 14.

Hence, The age of son is 14.

→ Father's age = 3x → 3 × 14 → 42yrs.

Therefore, The father's age is 42 years.