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
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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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