If the average of 5 consecutive integers is 12, what is the sum of the least and greatest of the 5 integers?

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If the average of 5 consecutive integers is 12, what is the sum of the least and greatest of the 5 integers?

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Answer 1 · 2017-05-26T10:37:53

$24$

Explanation:

$"let the 5 consecutive integers be"$

$n,color(white)(x)n+1,color(white)(x)n+2,color(white)(x)n+3,color(white)(x)n+4$

$rArr"sum of the 5 integers" =12xx5=60$

$=n+(n+1)+(n+2)+(n+3)+(n+4)=5n+10$

$rArr5n+10=60larr" and solving for n"$

$rArrn=10$

$rArr10,color(white)(x)11,color(white)(x)12,color(white)(x)13,color(white)(x)14larrcolor(red)" are the 5 integers"$

$"sum of least and greatest "=10+14=24$

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If the average of 5 consecutive integers is 12, what is the sum of the least and greatest of the 5 integers?

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