Question 1019198

The sum of two numbers is 28 and their difference is 4. What are the numbers?
<pre>Let larger and smaller numbers, be L and S, respectively
Then: {{{matrix(1,2,L + S = 28, "------- eq (i)")}}}
Also, {{{matrix(1,2,L - S = 4, "-------- eq (ii)")}}}
2L = 32 ------ Adding eqs (ii) & (i)
Larger number = {{{32/2}}}, or {{{highlight_green(16)}}}
16 + S = 28 ------- Substituting 16 for L in eq (i)
S, or smaller number = 28 - 16, or {{{highlight_green(12)}}}