I am less than 500. All three digits are odd. All three digits are different. The sum of the digits is thirteen. The product of my digits is greater than 30. I am not divisible by 5. Who am I?
let s say x y z is the digits of your 3 digit number xyz<500x+y+z=13x∗y∗z>30i am not divisible by five mean that your number cannot end with 0 or 5so z cannot be 0 and 5 and your number less than 500 so x<5 x can be (3,1): there is only one number: x=1 y=5 z=7 (157)
397 can't be also the answer as 3+9+7 is 19, not 13, as again mentioned above.
You are a human being, duh.
Now don't expect me to write your name.
Still, I think the answer is 157.
But SolveIt, 3x9x1 is 27, which is not greater than 30, as mentioned above.
What? I'm just telling the truth, but wait.....there may be 0.00000001% chances he might be an extra terrestial body, plus I gave him the answer too.
Nice work, OneDirection and Solveit.....points from me.....!!!
Here's a way to confirm this......
x + y + z = 13
x * y * z > 30
Now ....assume z = 9.....but this means that x and y could only be 1 and 3 since 1 + 3 + 9 = 13......but 1 * 3 * 9 = 27
And that's < 30
So......let's assume that z = 7
So z = 13 - x - y → 7 = 13 - x - y → x + y = 13 - 7 → x + y = 6
Thus.....either x = 1 and y = 5 or vice-versa
So......if we write the number as xyz, the only possibility is xyz = 157
I am less than 500. All three digits are odd. All three digits are different. The sum of the digits is thirteen. The product of my digits is greater than 30. I am not divisible by 5. Who am I?
(1)x+y+z=13z=13−(x+y)(2)x⋅100+y⋅10+z<500x⋅100+y⋅10+13−(x+y)<50099x+9y+13<5009y<−99x+500−139y<−99x+487 y < −11x+4879 (3)x⋅y⋅z>30x⋅y>30z x⋅y > 3013−(x+y)
I have put y < −11x+4879 and x⋅y > 3013−(x+y) in https://www.desmos.com/calculator
se we have a result of 5 Points. see:
Now let us see:
xyz=13−(x+y)result1513−(1+5)=7yes1713−(1+7)=5no, because 175 is divisible by 53313−(3+3)=7no, because x=y3513−(3+5)=5no, because y=z3713−(3+7)=3no, because x=z
There is only one number 157