SOLUTION: Find two consecutive integers such that the sum of the three fifths of the first and one fourth of the second is 13? What's the answer with this complicated question? my mind is ex

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find two consecutive integers such that the sum of the three fifths of the first and one fourth of the second is 13? What's the answer with this complicated question? my mind is ex      Log On


   



Question 801768: Find two consecutive integers such that the sum of the three fifths of the first and one fourth of the second is 13? What's the answer with this complicated question? my mind is explodingggg.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find two consecutive integers such that the sum of the three fifths of the first and one fourth of the second is 13?
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let x=1st consecutive integer
x+1=2nd consecutive integer
..
(3/5)x+(1/4)(x+1)=13
3x%2F5%2B%28x%2B1%29%2F4=13
LCD:20
12x+5(x+1)=20*13
12x+5x+5=260
17x=255
x=255/17=15
x+1=16
1st consecutive integer=15
2nd consecutive integer=16