Question

A father is nine times as old as his son and the mother is eight times as old as the son.The sum of the father's and mother's age is 51 years. What is the age of the son ?

Answer 1

Answer:

3 years

Step-by-step explanation:

let the son's age be x

then, father's age = 9x

mother's age = 8x

also, given that,

9x + 8x= 51

17x= 51

x=3

hence, the son's age is 3 years

Answer 2

The age of son is 3 years.

Step-by-step explanation:

Since we have given that

Let the age of son be 'x'.

Let the age of father be 9x.

Let the age of mother be 8x.

Sum of father's and mother's age = 51

According to question, it becomes,

$9x+8x=51\\\\17x=51\\\\x=\dfrac{51}{17}\\\\x=3$

Hence, the age of son is 3 years.

# learn more:

A father is nine times as old as his son and the mother is eight times as old as the son.The sum of the father's and mother's age is 51 years. What is the age of the son ?

https://brainly.in/question/8005018