Respuesta :
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.
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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