# I have a number which is greater than 70 but less than 80 and is the quotient of 234. What is my number?

##### 1 Answer

Nov 19, 2015

78

#### Explanation:

Here it is important to state the assumption that all the numbers concerned in this problem are integers.

If so, the set of integers possible are {71 - 79}

Since the number is a quotient of 234 (even) it too must be even

Hence the set of possible numbers is now {72, 74, 76, 78}

Taking each in turn:

N 234/N

72 3.25

74 3.162162162

76 3.078947368

78 3

Since the quotient is an integer, N must be 78