3.
The minimum age of children to be eligible to participate in a painting competition is 8 years. It is
observed that the age of youngest boy was 8 years and the ages of rest of participants are having a
common difference of 4 months. If the sum of ages of all the participants is 168 years, find the age
of eldest participant in the painting competition.
Ans:
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Answer:
13
Step-by-step explanation:
We know that the first participants age is 8 years. If every participant is 4 months older than the previous participant, then we can add their ages as:
8+8 (4 months) + 8 (8 months) etc.
However, you can add the months together to get a year after every 3 participants. My calculation looked like this:
8+8+8+1+9+9+9+1+10+10+10+1+11+11+11+1+12+12+12+1
This gets us to 155, which is 13 less than 168. The age of the next participant would be 13, making the 13 year old the oldest in the competition, and leading us to our final answer. Hope this helps!