Consecutive Integers I need Help Step by Step

Question

Find three consecutive integers such that five times the sum of the first and -4 is 35 less than the sum of the second and third.

Answer 1

Please see video. :-)

Answer 2

Let's call the first integer N, the second N+1, and the third N+2

The sum of the first integer and -4 is N - 4.

The sum of the second and third integer is N+1 + N+2 = 2N + 3

We are also told that the sum of the first integer and -4 (which is N - 4) is 35 less than the sum of the second and third integer (which is 2N + 3) ; or putting it in math expressions:

N - 4 = 2N + 3 - 35. ; simplfy and solve for N: 28 = N

So the first integer is 28, the second is 29 and the third is 30

CHECK:

28 - 4 = 24

29 + 30 = 59 indeed 24 is 35 less than 59.