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The sum of three consecutive even integers is 90. Find the Integers.

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4 votes

Answer:28,30,32

I had answer this to soneone else already but here it is

Explanation:

The sum of three consecutive even integers is 90. Find the Integers.


N= first even number we need to find


N+2= second even number


N+4= third even number


90= is the sum of all 3 even integers


N+n+2+n+4=90


Add all n together


3n+2+4=90


Add 2 plus 4


3n+6=90


Subtract 6 bith sides


3n=90-6


Subtract 90 from 6


3n= 84


Divide 3 both sides


3n/3=84/3


Divide 84 by 3 to solve for n


N= 28


So furst even number is 28. Now to find second and third number substitute 28 into the bext two equations .


N+2=? For second numb.


28+2=30 second number


N+4=? For third number


28+4=32 for third number



To check add all 3 answers


28+30+32=90


58+32=90


90=90 it checks



So three even numbers are 28,30,32



User Dino
by
7.9k points
4 votes

x + x + 1 + x + 2 = 90 ....

3x+3= 90

meaning, 3x= 87

x=27

The integers are 29, 30 and 31.

I hope I could help! :)

User KevinD
by
8.2k points

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