Bob is 4 years younger than Ann and 5 years older than Frank. Alice is with 20 years 5 years older than Frank. What's the age difference (in years) between the oldest and youngest person

The age difference (in years) between the oldest and youngest person is; 9 years

Let the age of Bob be x.

Now, Bob is 4 years younger than Ann and 5 years older than frank. Thus;

Age of Ann = x + 4

Age of Frank = x - 5

Alice is 20 years old and 5 years older than frank. Thus;

Age of Alice = 20

Age of frank = 20 - 5 = 15 years

From earlier, we saw that age of frank = x - 5

Thus;

x - 5 = 15

x = 15 + 5

x = 20 years

Thus;

Age of Ann = 20 + 4 = 24 years

We have established that;

Age of Bob = 20 years

Age of Frank = 15 years

Age of Ann = 24 years

Thus, oldest is Ann at 24 years old

Youngest is frank at 15 years

Thus, age difference between oldest and youngest person is; 24 - 15 = 9 years.

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Given :

Bob is 4 years younger than Ann and 5 years older than Frank. Alice is with 20 years 5 years older than Frank.

To Find :

The age difference (in years) between the oldest and youngest person.

Solution :

Let, age Bob is x.

Age of Ann = x + 4.

Age of Frank = x - 5.

Age of Alice  = 20 .

It is given that Alice is 5 years older than Frank.

x - 5 = 20 - 5

x = 20

So, age of Ann = 20 + 4 = 24

Age of Bob = 20

Age of Frank = 15

Therefore, age difference between oldest and youngest person is 24 - 15 = 9 years.

Hence, this is the required solution.