Gustav’s father is seven times as old as he is. A year ago, he was nine times as old as Gustav. Find Gustav’s present age.
The Present:
Son: X yrs old.
Father: 7X yrs old.
A year ago:
Son: (x-1) yrs old.
Father: 9(X-1) yrs old.
The difference between their ages is the
same as last year:
7x-x = 9(x-1)-(x-1)
6x = 9x-9-x+1
-2x = -8
X = 4 yrs = The son's age.
To find Gustav's present age, let's solve the problem step by step:
Let's assume Gustav's present age as "x".
According to the given information, Gustav's father is seven times as old as he is. Therefore, Gustav's father's age would be 7x.
Now, it is stated that a year ago Gustav's father was nine times as old as Gustav. This gives us the equation:
(7x - 1) = 9(x - 1)
Let's solve the equation to find the value of x:
7x - 1 = 9x - 9
-2x = -8
x = 4
Therefore, Gustav's present age is 4 years.