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?

Question

7790 views around the world

You can reuse this answer
Creative Commons License

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 $=38-16=22$