Question

Question
Six consecutive numbers add up to a total of 69. What is the highest of these numbers?

Answer 1

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Consecutive numbers can be represented as X and (X+1)

If we add these 2 numbers we get 3 2X + 1

Take 2X + 1 and set equal to 69

$\bf2x + 1 = 69 \\ \\ \bf \dashrightarrow 2x = 68 \\ \\\bf \dashrightarrow \red{ x = 34}$

X + 1 would be 35.

Answer 2

$\huge\mathbb\blue{Answer}$

let the numbers be = x, (x+1), (x+2), (x+3), ( x-1), (x-2)

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According to question :-

x + (x+1)+(x+2)+(x+3)+(x-1)+(x-2) = 69

=> 6x +6 - 3 = 69

=> 6x = 69-3

=> x = 66/6

=> x = 11

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Now we can see that (x+3) will have the highest value :-

so, Highest value = x+3 => 11+3 => 14

Therefore the highest value is = 14

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Hope it's helpful

Thank you