Respuesta :
Age of jack is 11 years.
Option - a
SOLUTION:
Given that, Jack's father is 4 times as old as Jack.
To find: youngest age that Jack could be.
The sum of their ages is no less than 55.
Let the age of jack be n years, then his father’s age will be 4n years.
Now, we are given that, sum of ages [tex]=55 \rightarrow n+4 n=55 \rightarrow 5 n=55 \rightarrow n=11[/tex]
Important Statements and Equations for "Problems based on Ages":
- If the present age is y, then n times the present age [tex]= ny[/tex]
- If the present age is x, then age n years later/hence [tex]= x + n[/tex]
- If the present age is x, then age n years ago [tex]= x-n[/tex]
- The ages in a ratio a: b will be ax and bx
- If the current age is y, then 1/n of the age is [tex]\frac{y}{n}[/tex]