The sum of two numbers is 47, and their difference is 15. What is the larger number?

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Answer 1 · 2016-11-23T06:00:09

Larger number is #31#

Let the larger number be #x#, then smaller number is #x-15#.

As their sum is #47#, we have

#x+x-15=47#

or #2x-15=47#

or #2x=47+15#

or #2x=62#

i.e. #x=62/2=31#

Hence larger number is #31#