SOLUTION: find three consecutive even integers such that five-half of the second minus three half of the first is three-fourths of the third integers.

Algebra.Com
Question 1043061: find three consecutive even integers such that five-half of the second minus three half of the first is three-fourths
of the third integers.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
2n is the first of these consecutive even integers, and n is any integer.


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

find three consecutive even integers such that five-half of the second minus three half of the first is three-fourths
of the third integers.
Let the smallest be S

Then the 2nd and 3rd are: S + 2, and S + 4, respectively

We then get: 



2(5)(S + 2) - 2(3S) = 3(S + 4) ------- Multiplying by LCD, 4

10S + 20 - 6S = 3S + 12

4S + 20 = 3S + 12

4S - 3S = 12 - 20

S, or smallest integer = 

Integer 2 = - 8 + 2, or  

Integer 3 = - 8 + 4, or  

That's all! 

RELATED QUESTIONS


Find three consecutive even integers such that the sum of the first and third is three... (answered by CubeyThePenguin)

Find three consecutive even integers such that the difference of the third and half of... (answered by CubeyThePenguin)

Find two consecutive even integers such that four times the first integer minus three... (answered by CubeyThePenguin)

Find the three consecutive even integers such that the sum of the first number and half... (answered by Fombitz)

Find two consecutive integers such that the sum of one-half the first and three-fifths... (answered by checkley79)

Find three consecutive even integers such that the sum of the first and third exceeds... (answered by stanbon)


Find three consecutive even integers such that the sum of the first and third exceeds... (answered by checkley71)

Find three consecutive integers such that the sum of the first plus one-third of the... (answered by stanbon,MathTherapy)

1.	Find three consecutive even integers such that the sum of twice the second and half... (answered by Gogonati)