Question

a father is three times as old as his son. in 14 years' time, he will be twice as old as his son. how old is the father now?

Answer 1

A father is three times as old as his son. in 14 years time, he will be twice as old as his son.

⠀⠀

We have to find, Age of father.

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

☯ Let Present age of son be x.

☯ Therefore, Present age of his father is 3x.

$\underline{\bigstar\:\boldsymbol{According\:to\: Question\::}}$

After 14 years he will be twice as old as his son.

Therefore,

Their ages after 14 years,

• Age of son = x + 14
• Age of father = 3x + 14

$:\implies\sf 2(x + 14) = 3x + 14$

$:\implies\sf 2x + 28 = 3x + 14$

$:\implies\sf 2x - 3x = 14 - 28$

$\qquad:\implies\sf - x = - 14$

$\qquad:\implies{\boxed{\frak{\purple{x = 14}}}}\;\bigstar$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

Hence,

• Age of son, x = 14 years

• Age of his father, 3x = 3 × 14 = 42 years

$\therefore\;{\underline{\sf{Present\;age\;of\; father\;is\;\bf{42\;years}.}}}$

Answer 2

Answer:

Step-by-step explanation:

It's much easier when you visualize the problem:

The father's age will be double the child's age in 14 years.
So, using the data below, we can make the equation:

3x + 14 = 2 (x + 14)
3x + 14 = 2x + 28
3x - 2x = 28 - 14
x = 14

So 3x:
3 x 14 = 42

The father is 42 years old and the child is 14 years old presently.