perplexus.info :: Just Math : 4 basic operations

4 basic operations (Posted on 2024-05-21)

Let's select 2 integers in the range of 1 TO 100, say X and Y , (X>Y). To avoid fractions X should be a multiple of Y.
On those two integers we will perform 4 operations (addition, subtraction, multiplication and division) and then sum up the 4 answers.

Example X = 81 and Y = 9
sum would be 90
difference 72
product 729
and quotient 9

altogether 900

It's up to the solver to convert the final result, restoring the original values of X and Y.

Solve for final result 324

See The Solution Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

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Computer solution

| Comment 1 of 10

The largest y can be is 50.

The (x,y) values resulting in 324 are:

[[81, 1], [72, 2], [45, 5], [32, 8]]

The program creates a dictionary where the keys are the computed sums, and the values are lists of lists of x,y pairs that produce those sums.

-------------

ans = {}

for y in range(1,51):

for division in range(2, 1+int(100/y)):

x = y*division

mult = x*y

add = x+y

diff = x-y

calc = division + mult + add + diff

if calc not in ans:

ans[calc] = [[x,y]]

else:

ans[calc].append([x,y])

print(ans[324])

Posted by Larry on 2024-05-21 08:44:01

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