Question

Jack's father is 4 times as old as Jack. The sum of their ages is no less than 55. What is the youngest age that Jack could be? a.11 b.12 c.44 d.48

Answer 1

he's 11

Explanation:why cause 55 - 11 = 44

Answer 2

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
`=55 \rightarrow n+4 n=55 \rightarrow 5 n=55 \rightarrow n=11`

Important Statements and Equations for "Problems based on Ages":

1. If the present age is y, then n times the present age
   `= ny`
2. If the present age is x, then age n years later/hence
   `= x + n`
3. If the present age is x, then age n years ago
   `= x-n`
4. The ages in a ratio a: b will be ax and bx
5. If the current age is y, then 1/n of the age is
   `(y)/(n)`