SOLUTION: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.

Question 171114: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Let x=smaller no.
y=larger no.
y-x=9
[1]y=x+9
[2]5x=3y+3
Substituting [1] to [2],
5x=3(x+9)+3
5x=3x+27+3
5x=3x+30
2x=30
x=15
y-15=9
y=24
Therefore the two integers are 15 and 24.
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