43.3k views
3 votes
if the first and third of three consecutive integers are added, the result is 87 less than five times the second integer. Find the third integer

User AdAstra
by
4.7k points

2 Answers

3 votes

Your answer is 30


Hope this helps

User CZX
by
5.6k points
5 votes

consecutive integers are 1 apart


3 of them are x, x+1, x+2


x is the 1st integer, x+1 is the 2nd integer, x+2 is the 3rd integer




if the first and third integer are added (add x and x+2 together), then the result is 87 less than 5 times the 2nd integer (-87+5(x+1))



basically

(x)+(x+2)=-87+5(x+1)

expand and nice it up

2x+2=-87+5x+5

addd like terms

2x+2=-82+5x

minus 2x from both sides

2=-82+3x

add 82 to both sides

84=3x

divide both sides by 3

28=x

we can now find the 2 other integers

x+1=28+1=29

x+2=28+2=30


the 3rd integer is 30

User Caktux
by
4.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.