# The sum of the ages of five students is as follows: Ada and Bob is 39, Bob and Chim is 40, Chim and Dan is 38, Dan and Eze is 44. The total sum of all the five ages is 105. Questions What is the age of the youngest student? Who is the oldest student?

##### 2 Answers

**Age of youngest student , Dan is** **years and Eze is the oldest student of** **years age.**

#### Explanation:

Sum of ages of Ada,Bob, Chim, Dan and Eze :

Sum of ages of Ada & Bob is

Sum of ages of Bob & Chim is

Sum of ages of Chim & Dan is

Sum of ages of Dan & eze is

Sum of ages of Ada,Bob (2), Chim (2), Dan(2) and Eze is

Sum of ages of Bob, Chim , Dan is

Therefore age of Dan is

Bob is

Ages of Ada,Bob, Chim, Dan and Eze are

years respectively.Age of youngest student , Dan is

and Eze is the oldest student of

**Age of the youngest student is 16 years ( Dan )**

**The oldest student is Eze ( 28 years )**

#### Explanation:

Let the age of Ada, Bob, Chim, Dan and Eze be

Now, as per the question :

Now, in equation (ii) and (iii),

Now, in equation (i) and (iv),

Hence,

Age of Ada :

Age of Bob :

Age of Chim :

Age of Dan :

Age of Eze :

Therefore, the age of the youngest student is 16 years (Dan) and the oldest student is Eze (28 years).