Math, asked by arya56068, 7 months ago

a man's age is three times that of his son and in 12 years he will be twice as old as his son would be what are their present age​

Answers

Answered by 7088744595
5

Answer:

son's present age=x=12 years

father's present age=3x=3*12=36 years

Step-by-step explanation:

let the age of son be x

then father's age= 3x

in 12 years

son's age= x+12

father's age= 3x+12

A.T.Q

2(x+12)=3x+12

2x+24=3x+12

2x-3x=12-24

-x=-12

- cut

x=12

son's age and father's age is given in answer

Answered by Anonymous
8

Provided that:

  • A man's age is three times that of his son.

  • In 12 years he will be twice as old as his son

We have to find out:

  • Present ages of man and son.

Assuming that,

  • Present age of son as y

Let's solve:

  • Father's age would be = y × 3 = 3y

After 12 years,

  • Age of son would be y + 7
  • Age of father would be 3y + 7

Ages are twice,

  • 2 (y + 12)

Hence, equation formed:

  • 2 (y + 12) = 3y + 12

Opening bracket★

  • 2 × (y + 12) = 3y + 12
  • 2y + 24 = 3y + 12

Changing the sides

  • 2x - 3x = 12 - 24
  • -x = -12

Negative signs would be cancelled

  • x = 12

Hence, age of son is 12 years

Father's age:

  • 3y = 3 × 12 = 36

Hence, father's age is 36 years

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