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
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
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).