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01-10-2016
Mathematics

contestada

the sum of six consecutive even integers is 90. what is the largest integer?

A. 16
B. 20
C. 10
D32

Respuesta :

Kaustav Kaustav

01-10-2016

Let the six consecutive even integers be x, x+2, x+4, x+6, x+8, x+10.
Their sum is 90.
So,
x+x+2+x+4+x+6+x+8+x+10=90
x+x+x+x+x+x=90-2-4-6-8-10
6x=60
x=10
Hence, the greatest integer is x+10=10+10=20.
Thus, the answer is ( B. 20 ).

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