SOLUTION: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the number.

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Question 14934: The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the number.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the smaller number and y the bigger number.
we have x+y=133.......(1)
and 4*x=3*y ..........(2)
multiplying (1) with 3 throught we get 3*x+3*y=3*133...substituting 3*y=4*x in this we get 3*x+4*x=399
7*x=399
x=399/7=57
since 4*x=3*y=4*57
y=4*57/3=4*19=76
hence x=57 and y=76....