Just Simple Math prob: The sum of multiplier should be < prod. of any of these

[RobinPH_]

2x, 3x, 5x, and 50x.
Ex. 2x50 = 100

The sum of the multiplier of these 2x,3x,5x, and 50x should be less than and not equal to the product of any of these 2x,3x,5x,50x

Ex.
2x250 = 500
3x175 = 525
250 + 175 = 425
The sum of these two is less than the multiplier combined or not equal to any of the product of 2x, and 3x
but I need is 2x,3x,5x and 50x

If it is really hard, you can remove the 50x in my question, and only solve for the 2x, 3x, and 5x.

Understand my question?

If this is impossible to solve, please let me know.


Thanks.

 

[Deleted member 4993]

2x, 3x, 5x, and 50x.
Ex. 2x50 = 100

The sum of the multiplier of these 2x,3x,5x, and 50x should be less than and not equal to the product of any of these 2x,3x,5x,50x

Ex.
2x250 = 500
3x175 = 525
250 + 175 = 425
The sum of these two is less than the multiplier combined or not equal to any of the product of 2x, and 3x
but I need is 2x,3x,5x and 50x

If it is really hard, you can remove the 50x in my question, and only solve for the 2x, 3x, and 5x.

Understand my question?

If this is impossible to solve, please let me know.


Thanks.

Please designate * as multiplication sign - and correct your original post or explain.

 

[Ishuda]

2x, 3x, 5x, and 50x.
Ex. 2x50 = 100

The sum of the multiplier of these 2x,3x,5x, and 50x should be less than and not equal to the product of any of these 2x,3x,5x,50x

Ex.
2x250 = 500
3x175 = 525
250 + 175 = 425
The sum of these two is less than the multiplier combined or not equal to any of the product of 2x, and 3x
but I need is 2x,3x,5x and 50x

If it is really hard, you can remove the 50x in my question, and only solve for the 2x, 3x, and 5x.

Understand my question?

If this is impossible to solve, please let me know.


Thanks.

It looks to me like what is being said is given four positive integers a, b, c, and d, let
S = a + b + c + d,
and
M = min{2*a, 3*b, 5*c, 50*d}

Find a, b, c, and d such that
S < M

As an alternative, drop the d and 50d.

RobinPH_ could you verify this