Question 779075

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Please walk me through and help me answer this exactly what are all the steps do I need to solve this and what is my answer?

one number is 4 less than 5 times another number if the sum of the two numbers is 68, find the two numbers 


Let smaller and larger numbers be S and L, respectively


Since one number is 4 less than 5 times the other, then we can say that:
L = 5S - 4 ----- eq (i)


Since the sum of the two numbers is 68, then we can say that: L + S = 68 ----- eq (ii)


5S - 4 + S = 68 ------ Substituting 5S - 4 for L in eq (ii)


5S + S = 68 + 4


6S = 72


S, or smaller number = {{{72/6}}}, or {{{highlight_green(12)}}}



L = 5(12) - 4 ----- Substituting 12 for S in eq (i)


L = 60 - 4


Larger number, or {{{highlight_green(L = 56)}}}


You can do the check!! 


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