This year as my Birthday was nearing; I planned to collect money for my birthday party.
So I started collecting the money from the 1st day of my birthday month.
On the first day, I put a dollar in my piggy bank, on the second, I put in $ 2 and on the third, I out in $ 3 and so on.
On my birthday, I had a total of 276 dollars in my piggy bank.
Can you find out the date on which my birthday was in that particular month?
So were you able to solve the riddle? Leave your answers in the comment section below.
You can check if your answer is correct by clicking on show answer below. If you get the right answer, please do share the riddle with your friends and family on WhatsApp, Facebook and other social networking sites.
Answer to the Riddle:
This can be solved by 2 methods:
Method 1: (Using Formula):
We know that the addition value is 276 so we can write
276 = n(n+1)/2
i.e. 276 x 2 = n(n+1)
Therefore, 552 = n^2 + n
so, n^2 + n – 552 = 0
i,e. (n – 23)^2 = 0
n – 23 = 0
Therefore n = 23.
Method 2: (Simple Addition)
Second method would be to directly start adding the number till u get to the sum of 276.
When u keep adding the number you will see that the total reaches 276 when you reach 23.
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 = 276
Therefore, the birthday is on the 23rd day of the month.(By both methods.)