Question 341844
One number is one third of another number. If the difference between the numbers is 28, find the two numbers.


Let the larger number be L, and the smaller number S.


Since one number is one third of another number, then we can say that L = 3S


Also, since the difference between the numbers is 28, then we can also say that: L - S = 28 


Now we have: L = 3S ______eq (i)
             L - S = 28___eq (ii)


Substitute 3S for L in eq (ii) to get: 3S - S = 28


2S = 28


S, or the smaller number = {{{28/2}}}, or {{{highlight_green(14)}}}


Now, substitute 14 for S in eq (i) to get: L = 3(14), or L, or larger number = {{{highlight_green(42)}}}