Question

3/4 of a number is greater than 3/16 of the same number by 81. What is 1/2 of the number?

Answer 1

72

Explanation:

The given word description can be translated to math symbols this way, when x represents the number:

3/4x -3/16x = 81

Multiplying by 16 gives ...

12x -3x = 1296

9x = 1296 . . . . . . simplify

We want to find the value of half the number, so we can divide this by 18 to get ...

x/2 = 1296/18 = 72

Half the number is 72.