The larger of two number is 10 less than twice the smaller number. If the sum of the two numbers is 38, what are the two numbers?

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Answer 1 · 2017-10-24T20:35:44

The smallest number is 16 and the largest is 22.

Be #x# the smallest of the two numbers, the problem can be summarized with the following equation:

#(2x-10)+x=38#

#rightarrow 3x-10=38#

#rightarrow 3x=48#

#rightarrow x=48/3=16#

Therefore

smallest number #=16#

largest number #=38-16=22#