SOLUTION: the sum of 1/3 of the smaller of two numbers and 2/3 of the larger is 34. Also, 1/2 of the smaller number is equal to 1/4 of the larger. find the numbers.

Question 1010903: the sum of 1/3 of the smaller of two numbers and 2/3 of the larger is 34. Also, 1/2 of the smaller number is equal to 1/4 of the larger. find the numbers.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the smaller and the larger numbers, x and y. Then we have
(1/3)x + (2/3)y = 34
and
(1/2)x = (1/4)y which also means 2x = y
Let's multiply the top equation by 3 to clear fractions and get
x + 2y = 102
Now substitute y = 2x and get
x + 2(2x) = 102
x + 4x = 102
5x = 102
x = 20.4
y = 2(20.4) = 40.8
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