The numbers are smallest number is 10 and the largest number is 26.
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the smallest number be x
The largest number be x + 16
The sum of two numbers is 36,
⇒ [tex]x+16+x=36[/tex]
⇒ [tex]2x+16=36[/tex]
⇒ [tex]2x=36-16[/tex]
⇒ [tex]2x=20[/tex]
⇒ [tex]x=\frac{20}{2}[/tex]
⇒ [tex]x=10[/tex]
Thus the smallest number is 10 and
The largest number is [tex]x+16=10+16[/tex]
⇒ [tex]26[/tex]
Hence we can conclude that the numbers are smallest number is 10 and the largest number is 26.
Learn more about word problems here
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