maths
posted by francis .
1. If the first and third of three consecutive odd integers are added, the result is 51 less than five times the second integer. Find the third integer.
Let the 3 numbers be x, (x + 1) and (x + 2).
Then, x + (x + 2) = 5(x + 1)  51
Solve for x.
We want "three consecutive odd integers". These look like
2k+1, 2k+3, and 2k+5
We're told
2k+1 + 2k+5 = 5*(2k+3)  51 so
4k+6 = 10k + 15  51 or after rearranging
42 = 6k and k=7 so the numbers are
15,17 and 19
Test:
15 + 19 = 5*17 51 or
34 = 85  51

X+x+2=5x+515
2x+2=5x10
2+10=5x2x
12=3x
3x/3=12/3
X=4.
Respond to this Question
Similar Questions

maths
1. If the first and third of three consecutive odd integers are added, the result is 51 less than five times the second integer. Find the third integer. 2. Write as a subtraction problem and evaluate. 15 less than 2 n, n+1, N+2, ... … 
Algebra
If the first and third of three consecutive even integers are added, the result is 12 less than three times the second integer. Find the integers. 
algebra
If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers. 
math
A. Four times one odd integer is 14 less than three times the next even integer. Find the integers. B. The average of four consecutive odd integers is 16. Find the largest integer. C. When the sum of three consecutive integers is divided … 
algebra
For three consecutive odd integers, the sum of 3 times the first integer and 2 times the second integer is 77 less than 4 times the third integer. What are the three integers? 
algebra
For three consecutive odd integers, the sum of 3 times the first integer and 2 times the second integer is 7 less than 4 times the third integer. What are the three integers? 
Algebra
For three consecutive odd integers, the sum of 3 times the first integer and 2 times the second integer is 11 less than 4 times the third integer. What are the three integers? 
math
What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest? 
Algebra
Solve algebraically using one variable: Find three consecutive odd integers such that the product of the first integer and the third integer is equal to nine more than twelve times the middle integer. 
Algebra
Solve algebraically using one variable: Find three consecutive odd integers such that the product of the first integer and the third integer is equal to nine more than twelve times the middle integer.