SOLUTION: 3. Two numbers differ by 5 and 3/5 of the greater number is equal to ¾ of smaller number. Find the numbers.

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Question 389565: 3. Two numbers differ by 5 and 3/5 of the greater number is equal to ¾ of smaller number. Find the numbers.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Two numbers differ by 5
Let x and (x+5) represent the smaller and larger respectively
Question States***
3/5(x+5) = (3/4)x
solving for x
12(x+5) = 15x Multiplying both sides of equation by 20
60 + 12x = 15x
60 = 3x
x = 20, the smaller number. Larger number is 25
CHECKING our Answer***
3/5*25 = 15 = 3/4*20
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