Question

A man is 7 by 2 times as old as his son if the sum of the square of their age is 1325 find the age of the son and father

Answer 1

Thank you just see the answer

Answer 2

The son's age is 10 and the father's age is 35.

Step-by-step explanation:

Given:

A man is 7 by 2 times as old as his son.

the sum of the square of their age is 1325.

To find:

The age of the son and father.

Solution;

From the given,

$x^2 + \frac{7}{2} x^2$ = 1325

$x^2 + \frac{49}{4} x^2$= 1325

$\frac{4x^2 + 49 x^2}{4}$= 1325

53 $x^2$ = 1325 $\times$ 4

$x^2 = \frac{1325 \times 4}{53}$ = 100

$x^2 = \sqrt {100}$= 10

The Son's age is 10.

The father's age is $\frac{7}{2} \times 10$ = 35.

To know more;

https://brainly.in/question/2643447

The age of father is 20 years more than twice the age of son.If sum of their ages is 65 years, find the age of the father and son