Question

A number between 280 and 380 when rounded to the nearest hundred is 45 less than the original number what number is the original number

Answer 1

If the unknown number is an integer between 280 and 349;

When rounded to the nearest hundred, the unknown number is 300.

If the unknown number is an integer from 350-380;

When rounded to the nearest hundred, the unknown number is 400.

If the approximation is 45 less than the original number, thus it cant be in the range of 350-380.

But;

`300+45=345`

When 345 is rounded to the nearest hundred, it is 300.

And the difference between the approximated value and the original value is 45.

Hence, 345 is the original number.

CORRECT ANSWER: 345