shivanigs wrote:Hi,
Request your help to understand the concept behind the following question :
If 5 < x < 10 and y = x + 5,what is the greatest possible integer value of x + y?
Another approach is to determine the range of y and then add it to the range of x.
Substituting x = y-5 into 5 < x < 10, we get:
5 < y-5 < 10
10 < y < 15.
Adding 5 < x < 10 to 10 < y < 15, we get:
5+10 < x+y < 10+15
15 < x+y < 25.
Thus, the greatest integer value of x+y is 24.
The solution above employs a very helpful technique: substituting an EQUATION into an INEQUALITY.
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