<PRE><B>Question 180471</B>
It says to translate to an equation- The larger of two numbers is 2 more than the lesser. The sum of 25 times the greater number and 50 times the lesser number is 500. What are the numbers?
:
Two numbers, x &amp; (x+2)
:
25(x+2) + 50x = 500
:
25x + 50 + 50x = 500
:
75x = 500 - 50
:
75x = 450
x = {{{450/75}}}
x = 6
then
6 + 2 = 8, the larger number
:
:
Check solution in original equation
25(8) + 50(6) = 
200 + 300 = 500</PRE>