SOLUTION: Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third.

SOLUTION: Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third.

Algebra.Com

Question 426410: Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the numbers be x, x+1, x+2.
x/4 + (x+1)/5 = (x+2)/7 - 5
35x+28(x+1)=20(x+2)-700 Multiply each side by 140 (LCM).
35x+28x+28=20x+40-700
43x=-688
x=-16, -15, -14 the three numbers.
.
Ed
RELATED QUESTIONS
Find three consecutive numbers such that the sum of one-fourth the first and one-fifth... (answered by macston)

Find five consecutive odd integers such that the sum of the first and the fifth is one... (answered by checkley71)

how do I answer this? Find five consecutive odd integers such that the sum of the first... (answered by stanbon)

Find five consecutive odd integers such that the sum of the first and the fifth is one... (answered by mananth)

how do you find five consecutive odd integers such that the sum of the first and the... (answered by tommyt3rd)

find five consecutive odd intergers such that the sum of the first and fifth number is... (answered by venugopalramana)

find five consecutive odd integers such that the sum of the first and the fifth is one... (answered by checkley71,bucky)

Find the integers. Five consecutive odd integers such that the sum of the first and fifth (answered by ewatrrr)

find five consecutive odd integers such that the sum of the first and the fifth is one... (answered by checkley75)