Can You Solve This Unique Digit Puzzle to Reach 975?

In summary, using each of the digits 0 to 9 exactly once and only the arithmetic operators, an expression can be generated to equal 975. The expression can also include concatenation of digits, but not exponentiation or factorial. For example, one possible solution is 12*(4/3) + 56-78+9 = 3. It is possible to achieve this with the digits 123456789 only.
  • #1
K Sengupta
113
0
Using each of the ten digits 0 to 9 exactly once, and using only the arithmetic operators: addition(+), subtraction(-), division(/), multiplication(*) and parentheses, generate an expression that equals 975.

Note:

Concatenation of two or more digits is permissible, so that, expressions like:
12*(4/3) + 56-78+9 = 3 are permissible.

However, utilization of exponentiation(^), factorial(!), or other mathematical expressions is not allowed.

For example, expressions like: 1834567^0 + 2! = 2 are not valid.
 
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  • #2
975 + (0 * 123468)
Of course, this is only one of a very large number of solutions.
 
Last edited:
  • #3
One solution:

(89-76)*450/(1+2+3) = 975
 
  • #4
jimmysnyder said:
975 + (0 * 123468)

:smile: i did all that thinkin' fer nothin' :-p!
 
  • #5
it's like countdown but twice as easy
 
  • #6
(49-10)*(72+6-3)/(8-5)
 
  • #7
how about with no zero? 123456789 only
 
  • #8
974 - 1 + 3 + 2 - 5 - 6 + 8
 
  • #9
lisab said:
:smile: i did all that thinkin' fer nothin' :-p!
I hate when that happens. And it happens all the time.
 

FAQ: Can You Solve This Unique Digit Puzzle to Reach 975?

What is "Ten Digits And Operator Puzzle"?

"Ten Digits And Operator Puzzle" is a mathematical puzzle that involves using ten digits (0-9) and basic arithmetic operators (+, -, x, ÷) to create mathematical equations that result in a specific target number.

How do you play "Ten Digits And Operator Puzzle"?

To play "Ten Digits And Operator Puzzle", you must use all ten digits (0-9) exactly once and the four basic arithmetic operators (+, -, x, ÷) to create mathematical equations that result in a specific target number. The equations must follow the correct order of operations and cannot use any other numbers or operators.

What is the goal of "Ten Digits And Operator Puzzle"?

The goal of "Ten Digits And Operator Puzzle" is to use all ten digits and the four basic arithmetic operators to create equations that result in a specific target number. The puzzle can have multiple solutions, but the challenge is to find the most efficient solution using the fewest number of equations.

Is there a specific method or strategy to solve "Ten Digits And Operator Puzzle"?

There is no specific method or strategy to solve "Ten Digits And Operator Puzzle". Some people may prefer to start with the most complicated operations (such as multiplication and division) while others may prefer to start with addition and subtraction. It is important to carefully consider the order of operations and to try different combinations of numbers and operators to find the most efficient solution.

Are there any tips for solving "Ten Digits And Operator Puzzle"?

Some tips for solving "Ten Digits And Operator Puzzle" include starting with simpler equations and gradually building up to more complex ones, using parentheses to clarify the order of operations, and trying different combinations of numbers and operators. It is also helpful to make sure all ten digits are used and to double-check the equations for any errors.

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