SOLUTION: Find two consecutive integers such that the sum of three-fifths of the first and one-fourth of the second is 13. And the checking for that equation.

SOLUTION: Find two consecutive integers such that the sum of three-fifths of the first and one-fourth of the second is 13. And the checking for that equation.

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Question 799191: Find two consecutive integers such that the sum of three-fifths of the first and one-fourth of the second is 13. And the checking for that equation.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the integers be x & x+1
(3/5)x + (1/4)(x+1) =13
multiply equation by 20 the ( LCD)
12x+5(x+1)=13*20
12x+5x+5=260
17x=260-5
17x=255
x=15
the numbers are 15 & 16

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