Friday

November 28, 2014

November 28, 2014

Posted by **francis** on Thursday, October 12, 2006 at 3:22pm.

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

**Answer this Question**

**Related Questions**

maths - 1. If the first and third of three consecutive odd integers are added, ...

algebra - If the first and third of three consecutive odd integers are added, ...

Algebra - If the first and third of three consecutive even integers are added, ...

math - A. Four times one odd integer is 14 less than three times the next even ...

maths - The smallest of three consecutive integers is added to the largest, the ...

maths - The smallest of three consecutive integers is added to the largest, the ...

Math - find three consecutive even intergers for which the sum of the first two ...

quad. eq. - find 3 consecutive integers such that the product of the second and ...

algebra - Find the two consecutive odd integers such that 5 times the first ...

Algebra - Find two consecutive odd integers such that 5 times the first integer ...