The sum of five consecutive even integers is 1310. Find the integers
2 answers:
5 consecutive even integers: n, n+2,n+4,n+6,n+8
n+(n+2)+(n+4)+(n+6)+(n+8)=1310
combine like terms
5n+20 = 1310
subtract 20 from each side
5n = 1290
divide by 5
n=258
n+2 = 260
n+4=262
n+6=264
n+8=266
Answer: 258,260,262,264,266
Answer:
Step-by-step explanation:
Let the first of these even numbers = n
The second one is n + 2
The third one is n + 4
The fourth one is n + 6
The fifth one is n + 8
Their sum is 1310
Equation
n + n + 2 + n + 4 + n + 6 + n + 8 = 1310
Solution
There are 5 ns.
The total of the numbers is 2 + 4 + 6 + 8 = 20
Simplify the given equation
5n +20 = 1310 Subtract 20 from both sides.
5n + 20 - 20 = 1310 - 20 Combine
5n = 1290 Divide by 5
5n/5 = 1290/5 Divide
Answers
n1 = 258
n2 = 260
n3 = 262
n4 = 264
n5 = 266
Check
The total is 258 + 260 + 262 + 264 + 266 = 1310
It checks.
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Step-by-step explanation:
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