Math, asked by malayjmistry13, 6 months ago

three years ago the sum of ages of a father and his son was 14 years after two years sum of ages of the father and his son will be​

Answers

Answered by kkbansal
2

Answer:

18 years

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Answered by halamadrid
0

Given,

Three years ago the sum of ages of a father and his son was 14 years.

To find,

After two years sum of ages of the father and his son.

Solution,

  • Let the current age of the father be x, and the current age of the son be y.
  • Three years ago the age of the father was x-3.
  • Three years ago the age of his son would be y-3.
  • It is given that three years ago the sum of the ages of a father and his son was 14 years. So, according to the equation we get,

             ⇒x-3 + y-3 = 14

             ⇒x + y - 6 = 14.

             ⇒x + y =20.

  • Hence, the sum of father and son present age is 20.
  • After two years the age of the father would be x+2 and the age of the son would be y+2.
  • Their combined age after 2 years would be

             ⇒x+2 + y +2

             ⇒x+y+4

  • We have already found the value of x+ y that is 20.
  • Hence, x +y + 4⇒ 20 +4 = 24

Hence, after two years sum of ages of the father and his son will be​ 24 years.

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