Question 1149981

The sum of two numbers is 38. The greater number is 5 more than twice the lesser number. What is the greater of the two numbers?
<pre>Let larger number be L
Then smaller = 38 - L
Also, L = 2S + 5 ------ eq (i)
L = 2(38 - L) + 5 ------ Substituting 38 - L for S in eq (i)
L = 76 - 2L + 5
L + 2L = 76 + 5
3L = 81
L, or larger number = {{{highlight_green(matrix(1,3, 81/3, "=", 27))}}}