Question

three times of the smallest of the three consecutive odd numbers decreased by 7 equal twice the largest find the number​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• Three times of the smallest of the three consecutive odd numbers decreased by 7 equal twice the largest number.

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$\red{\underline \bold{To \: Find:}}$

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• The three consecutive odd numbers.

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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• Let the 1st number be "x"

• So 2nd number will be "x + 2"

• 3rd number will be "x + 4"

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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$\sf \longmapsto 3x - 7 = 2(x + 4)$

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$\sf \longmapsto 3x - 7 = 2x + 8$

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$\sf \longmapsto 3x - 2x = 8 + 7$

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$\bf \longmapsto x = 15$

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So other number will be,

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• x = 15

• x + 2 = 15 + 2 = 17

• x + 4 = 15 + 4 = 19

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Hence the 3 consecutive odd numbers will be 15 , 17 , 19

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Additional information

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⎇ Going through some other real numbers

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↬ Natural Numbers

Natural numbers are part of real numbers, that include only the positive integers excluding zero.

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↬ Whole Numbers

The complete set of natural numbers along with ‘0’ are called whole numbers.

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↬ Even Numbers

Even Numbers are integers that are exactly divisible by 2.

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↬ Co-Prime Numbers

Co-prime number is a set of numbers or integers which have only 1 as their common factor.

Answer 2

ɢɪᴠᴇɴ :-

• Three times of the smallest of the three consecutive odd numbers decreased by 7 equal twice the largest number.

ᴛᴏ ꜰɪɴᴅ :-

• The three consecutive odd numbers .

ꜱᴏʟᴜᴛɪᴏɴ :-

Let,

• The 1st number be x.

• 2nd number will be x + 2.

• 3rd number will be x + 4.

 $\tt:\implies 3x - 7 = 2(x + 4)$

 $\tt:\implies3x - 7 = 2x + 8$

$\tt:\implies3x - 2x = 8 + 7$

 $\tt:\implies x = 15$

Hence,

The other three consecutive odd numbers will be,

• x = $\boxed{\tt{15}}$

• x + 2 = 15 + 2 = $\boxed{\tt{17}}$

• x + 4 = 15 + 4 =  $\boxed{\tt{19}}$

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 $\large{\orange{\underline{\tt{Extra\;Bites!♡}}}}$

$\small\underline\mathfrak\pink{Consecutive\:numbers:-}$

✦Numbers which follow each other in an order.

✦Consecutive numbers have mean and median equal

✦They have a difference of 1.

$\small\underline\mathfrak\red{Examples:-}$

✻23 and 24

Here,

• The numbers have difference of 1.(24-23=1)

• 24 comes after 23.

• Their mean and meadian are also equal.