Question 946637
Assume that x is the smaller number.
Assume that y is the larger number.
Based on the question, we know that
{{{ x + y = 55 }}}
We also know that since "y" is 11 more than "x" we can also assume that
{{{ y = x + 11 }}}
With this information given, we can substitute y in for x like so:
{{{ x + y = 55 }}}
{{{ x + x + 11 = 55 }}} Substitution
{{{ 2x + 11 = 55 }}} Combine Like Terms
{{{ 2x + 11 - 11 = 55 - 11 }}} Subtraction Property of Equality
{{{ 2x/2 = 44/2 }}} Division Property of Equality
{{{ x = 22 }}}


Since x is the smaller number, 22 is your answer.