Topic - Logic
In the clues below, each variable represent a different digit ranging from 0-9. Determine what digit each variable represent
g+g+g = d (3+3+3 = 9)
j+e = j (2+0 = 2)
g (to the 3rd power) = d (3, to the 2nd power = 9)
b+9 = d (6+3 = 9)
f-b = c (7-6 = 1)
i+h = a where (h>a) (2 / 4 = 8)
a x c = a (8x1 = 8)
/ = dividing
Answers: a = 8
b = 6
c = 1
d = 9
e = 0
f = 7
g = 3
h = 2
i = 4
j = 2
Please help me, I tried my best as you can see and I'm getting a bit confused. PLEASE help!
Thank you
To solve this logic puzzle, we need to carefully examine each clue and use the information provided to deduce the values of the variables. Let's go through each clue step by step:
1. g + g + g = d (3+3+3 = 9):
Based on this clue, we know that the sum of three g's is equal to d. Since 3 + 3 + 3 = 9, we can conclude that g = 3 and d = 9.
2. j + e = j (2+0 = 2):
In this clue, we see that the sum of j and e is equal to j itself. The only way this can be true is if e equals 0. So we can conclude that e = 0.
3. g^3 = d (3^2 = 9):
From this clue, we know that g raised to the power of 3 is equal to d. If we look at the available digits between 0 and 9, the only digit whose cube is 9 is 3. Therefore, we can confirm that g = 3 and d = 9.
4. b + 9 = d (6+3 = 9):
In this clue, we have the equation b + 9 = d. We already know that d = 9, so if we substitute 9 for d, we get b + 9 = 9. Subtracting 9 from both sides of the equation, we find b = 0.
5. f - b = c (7-6 = 1):
This clue tells us that the difference between f and b is equal to c. We know that f = 7 and b = 0 (from clue 4). Substituting these values, we get 7 - 0 = 1. Therefore, c = 1.
6. i + h = a, where h > a (2/4 = 8):
According to this clue, we have i + h = a, and h is greater than a. Looking at the available digits, the only digit greater than 2 is 4. Therefore, we can conclude that i = 4 and a = 8.
7. a x c = a (8 x 1 = 8):
Based on this clue, we need to find a digit c such that when multiplied by a (which we know is 8), the result is still 8. The only possible digit that satisfies this condition is 1. Thus, we can confirm that c = 1.
Summarizing the answers we found:
a = 8
b = 0
c = 1
d = 9
e = 0
f = 7
g = 3
h = 2
i = 4
j = 2
I hope this explanation clarifies the solution for you. Feel free to ask if you have any further questions!