Hi there! The smallest number is 7 and the largest number is 14.
Let the smallest number be represented by X.
The largest number is therefore equal to X + 7.
Now we can set up and solve an equation.
[tex]x + x + 7 = 21[/tex]
Collect terms
[tex]2x + 7 = 21[/tex]
Subtract 7 from both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x = 14 \div 2 = 7[/tex]
Hence, the smallest number is 7 and the largest number is 7 + 7 = 14.
