Question

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

Answer 1

† GiveN †

• Father is 30 year older than his son.
• 12 year hence the man will be three times as old as his son.

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† To FinD †

• The present age of Father and son.

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† SolutioN †

Let ,

• the present age of son be x then,
• the present age of father = x +30

12 hence , the age of

• Son = x +12 years
• Father = (x + 30) + 12 years

A/q

12 hence , the age of father = 3 times age of

son.

$\bold{ \implies \: \: (x +30) + 12 = 3( x+ 12)}$

$\bold{ \implies \:x + 30 + 12 = 3x +3 6 }$

$\bold{ \implies \: x - 3x =36 - 30 - 12}$

$\bold{ \implies \: - 2x =36 - 42 }$

$\bold{ \implies \: - 2x = - 6}$

$\bold{ \implies \: x = \frac{ - 6}{ - 2} }$

$\bold{ \implies \:x = 3 }$

By putting the value of x

● the present age of father = x + 30

= 3 + 30

= 33 years

● the present age of son = x

= 3 year

Hence, present age of father and his son are 33 year and 3 year respectively.

Answer 2

thanks for free point thax