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
Jun 13, 2018

Age of youngest student , Dan is 16 years and Eze is the oldest student of 28 years age.

Explanation:

Sum of ages of Ada,Bob, Chim, Dan and Eze :105 years

Sum of ages of Ada & Bob is 39years.

Sum of ages of Bob & Chim is 40years.

Sum of ages of Chim & Dan is 38years.

Sum of ages of Dan & eze is 44years. Therefore,

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

39+40+38+44 = 161 years Therefore,

Sum of ages of Bob, Chim , Dan is 161-105=56 years

Therefore age of Dan is 56-40=16 years , age of Chim is

38-16=22 years , age of Eze is 44-16= 28, age of

Bob is 40-22=18 years and age of Ada is 39-18=21 years

Ages of Ada,Bob, Chim, Dan and Eze are 21,18,22,16 and 28

years respectively.Age of youngest student , Dan is 16 years

and Eze is the oldest student of 28 years age. [Ans]

Jun 13, 2018

->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 A, B, C, D and E respectively.

Now, as per the question :

A+B=39 ... (i)

B+C=40 ... (ii)

C+D=38 ... (iii)

D+E=44 ... (iv) and

A+B+C+D+E = 105

:.(A+B)+C+(D+E)=105

:.39+C+44=105 ... [Substituting the value of A+B and D+E from (i) and (iv)]

:.C+83 = 105

:. C+83-83=105-83

:. C = 22 ... (v)

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

B+C =40 and C+D=38

:.B+22=40 and 22+D=38 ... [Substituting the value of C from (v)]

:.B=18 and D=16

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

A+B=39 and D+E=44

:.A+18=39 and 16+E=44 ... [Substituting the value of B and D]

:.A=21 and E=28

Hence,

Age of Ada : 21

Age of Bob : 18

Age of Chim : 22

Age of Dan : 16

Age of Eze : 28

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