🧠 Let’s Jump into Some Fun with Riddles!
Today, we will delve into a handful of straightforward yet thought-provoking riddles.
They might appear simple at first sight — and they are!
However, true enjoyment comes from using fundamental mathematical ideas and shifting your perspective.
🧠 Let’s jump into some enjoyable riddles!
Today, we’re going to take a look at a few straightforward yet intriguing riddles.
They may seem simple, but the fun comes from applying fundamental concepts with a bit of creative thought.
All you need is a curious mind and a new outlook.
Are you prepared to challenge your brain? 😄
We are all acquainted with the decimal number system, which consists of 10 digits:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Now, here’s the twist...
In this unique riddle, the values of all these digits have been modified!
Indeed, each digit now represents a different, concealed value.
With these altered values, a series of problems has been solved.
Your challenge?
👉 Carefully examine the provided problems.
👉 Uncover the hidden pattern.
👉 Determine the new value associated with each digit.
Get ready — this is more than just a puzzle; it’s a numerical enigma! 🧩✨
Let's discuss some steps in solving such problems.
Solved Example:
Key-1
The sum of all the digits from 0 to 9 is 58.
Key-2
853
+ 388
-----------
818
Key-3
5381
+ 1573
-------------
26501
Key-4
9
x 6
-----------
75
Step-1
Using Key 1:🔍 Let's Discover the Hint!
In the standard decimal system, the total of all digits from 0 to 9 is
0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
However, in our intriguing number puzzle with altered digit values, the total number of digits is 58—something has changed!
Let’s examine it:
🧩 In this puzzle:
The new value assigned to the digit
Step-2
Create a table displaying the new values along with the original values of all the digits as demonstrated below:
Original Digits
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
New Values of Digits
|
5
|
8
|
In this manner, determine all the values of the other digits associated with the keys in the question.
Using Key 2:
Problem with new values Problem with original values
853 54a 540
+ 388 + a55 + 055
--------- ---------- ----------
818 5b5 595
+ 388 + a55 + 055
--------- ---------- ----------
818 5b5 595
In this case, a + 5 equals 5, meaning a = 0. Therefore, 3 corresponds to 0; when we add 540 and 055, the total is 595, indicating that b is 9, meaning 1 equals 9.
Next, list the original values of 3 as 0 and 1 as 9 in the table below.
Original Digits
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
New Values of Digits
|
3
|
5
|
8
|
1
|
Using Key 3: From the above table, we have,
Problem with new values Problem with original values
5381 4059 4059
+ 1573 + 94a0 + 9420
------------ ---------- ----------
26501 dc4b9 13479
+ 1573 + 94a0 + 9420
------------ ---------- ----------
26501 dc4b9 13479
It is evident that d = 1 and c = 3 since 4 + 9 = 13 without a carry from the preceding digits. Additionally, a cannot be 6, 7, or 8 because no carry is passed on. Therefore, a must be 2, indicating that 7 represents 2. This is confirmed by the equation 5 + 2 = 7, meaning b = 7, or 0 corresponds to 7.
Please list the original numbers of 7 as 2, 0 as 7, 2 as 1, and 6 as 3 in the table below.
Original Digits
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
New Values of Digits
|
3
|
2
|
7
|
6
|
5
|
8
|
0
|
1
|
Using Key 4: From the above table, we have,
Problem with new values Problem with original values
9 a 8
x 6 x 3 x 3
------- ---------- ----------
75 24 24
x 6 x 3 x 3
------- ---------- ----------
75 24 24
a = 8 since 8 x 3 = 24. Therefore, a must be 8, meaning that 9 equals 8, and the leftover 4 should be 6.
Next, please list the original values of 9 as 8 and 4 as 6 in the table below.
Original Digits
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
New Values of Digits
|
3
|
2
|
7
|
6
|
5
|
8
|
4
|
0
|
9
|
1
|
Now we can answer all the questions if the new value is allotted to any digit.
Using the above-solved example, we can answer the following:
1) Using the following keys, answer the questions asked below these keys:
Key-1
The sum of all the digits from 0 to 9 is 80.
Key-2
801
+ 488
-----------
7248
Key-3
086
+ 167
-----------
954
Now respond to the following.
a) What is the updated value of 3?
b) Calculate the product of 245 and 359 using the updated values for the answer.
c) Determine the original value of 375.
d) Rewrite "(809+548)/70" using the original values.
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