Question 615551
You're on the right track, but you failed to create the first equation from the first statement (The difference of two numbers is 18). 


Let the larger and smaller numbers be L, and S, respectively


1st equation
Therefore, L - S = 18 ----- L - 18 = S ------ eq (i)


2nd equation
2L = 5S ------ eq (ii)


2L = 5(L - 18) ------- Substituting L - 18 for S in eq (ii)


2L = 5L - 90


2L - 5L = - 90


- 3L = - 90


L, or larger number = {{{(-90)/-3}}}, or {{{90/3}}}, or {{{highlight_green(30)}}} (CHOICE B)


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