Question 1019942

The difference of squares of two consecutive even natural numbers is 60. Find the numbers. 
<pre>Let smaller number be S
Then larger number = S + 2
We then get: {{{(S + 2)^2 - S^2 = 60}}}
{{{S^2 + 4S + 4 - S^2 = 60}}}
4S + 4 = 60
4S = 56
S, or smaller number = {{{56/4}}}, or {{{highlight_green(14)}}}
Larger number: 14 + 2, or {{{ highlight_green(16)}}}