Question 779075: Can you help me out?
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
Answer by MathTherapy(10556)   (Show Source):
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Can you help me out?
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 =  , or 
L = 5(12) - 4 ----- Substituting 12 for S in eq (i)
L = 60 - 4
Larger number, or 
You can do the check!!
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