The sum of a natural number and its half is equal to 32. What is the number?

There is no natural number like that.

Step-by-step explanation:

Say the number is odd: its half wont be a natural number. it will be a fraction number. And sum cant be equal to 32.Now, if the number were even. its half will be an odd number. and sum of an odd and an even number cant be an even, so the sum cant be 32.

MATHEMATICALLY,

Let the number is x.

So, x+x/2=32

or, 3x=64

or, x= 64/3=21.333...

But, 21.33.. is not a natural number.