MBA.Aspirant wrote:x is a positive integer <100. When x is divided by 5 remainder is 4. When x is divided by 23 remainder is 7. What's the value of x?
What's the easy way to go about this?
Make a list of values for x.
When positive integer x is divided by the divisor D, the remainder is R.
Given the information above, the smallest possible value of x will be the remainder R.
To determine the other possible values of x, just keep adding multiples of the divisor D.
When positive integer x is divided by 23, the remainder is 7.
Smallest x = 7.
Now add multiples of 23:
7,30,53,76,99.
Now look for a value that will leave a remainder of 4 when divided by 5.
In other words, the correct value will be 4 more than a multiple of 5.
Only x=99 works:
99/5 = 19 R4.
The correct answer is [spoiler]x=99[/spoiler].
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