The sum of $6$ consecutive numbers is $105$ . Find the smallest number.

13

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15

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14

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12

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Solution

The correct option is B $15$
Let the 6 consecutive numbers be $x, x + 1, x + 2, x + 3, x + 4$ and $x + 5$
$⟹ x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 105$
$⟹ 6 x + 15 = 105$
$∴ 6 x = 90$
$∴ x = 15$

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The sum of 6 consecutive numbers is 105. Find the smallest number.

The correct option is B 15Let the 6 consecutive numbers be x,x+1,x+2,x+3,x+4 and x+5⟹x+x+1+x+2+x+3+x+4+x+5=105⟹6x+15=105∴6x=90∴x=15

The sum of $6$ consecutive numbers is $105$ . Find the smallest number.

The correct option is B $15$
Let the 6 consecutive numbers be $x, x + 1, x + 2, x + 3, x + 4$ and $x + 5$
$⟹ x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 105$
$⟹ 6 x + 15 = 105$
$∴ 6 x = 90$
$∴ x = 15$