Question

2 years ago a father was five times as old as his son two years later his age will be 8 more than three times the age of the son represent this situation algebraically and graphically​

Answer 1

Answer:

This solution is algebraic.

Considering two variables, x(father) and y(son),

According to the question,

$x - 2 = 5(y - 2)$

$x - 2 = 5y - 10$

$x = 5y - 8$

and

$x + 2 = 3(y+ 2) + 8$

$x + 2 = 3y + 14$

$x = 3y + 12$

Equating both values of x, we get:

$5y - 12 = 3y + 12$

$5y - 3y = 12 + 8$

$2y =20$

$y = 10$

Applying the value of y to any x equation, like follows, we get:

$x = 3(10) + 12$

$x = 30 + 12$

$x = 42$

Hope this helps.

Thanks.