Find 2 consecutive integers such that two-fifth of the smaller exceeds two- ninth of the grater by 4​

2 thoughts on “Find 2 consecutive integers such that two-fifth of the smaller exceeds two- ninth of the grater by 4​”

1. Step-by-step explanation:

   \large{ \bold{ \color{blue}{ \underline{Question : – }}}}

   Question:−

   Find two consecutive odd integers such that two – fifth of the smaller exceeds two – ninth of the greater by 4.

   \large{ \bold{ \color{blue}{ \underline{ \color{blue}{Solution : – }}}}}

   Solution:−

   Let the smaller odd integer be x and greater odd integer be ( X + 2 )

   \begin{gathered} \frac{2}{5} \\ \end{gathered}

   5

   2

   of smaller exceedo \begin{gathered} \frac{2}{5th} \\ \end{gathered}

   5th

   2

   of greater odd by 4.

   \begin{gathered} = > \frac{2x}{5} = \frac{2}{5}(x + 2) + 4 \\ \end{gathered}

   =>

   5

   2x

   =

   5

   2

   (x+2)+4

   \begin{gathered} = > \frac{2x}{5} = \frac{2x + 4 + 36}{9} \\ \end{gathered}

   =>

   5

   2x

   =

   9

   2x+4+36

   = > 18x \: = 5(2x + 40)=>18x=5(2x+40)

   = > 18x \: = 10x \: + 200=>18x=10x+200

   = > 8x \: = 200=>8x=200

   = > X \: = 25=>X=25

   \begin{gathered}= > X + 2 \: = 25 \: + 2 \\ \: \: \: \: \: \: \: \: \:\: \: \: = 27\end{gathered}

   =>X+2=25+2

   =27

   So, two consecutive odd integers are 25 and 27 .

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2. [tex] \large{ \bold{ \color{blue}{ \underline{Question : – }}}}[/tex]

   Find two consecutive odd integers such that two – fifth of the smaller exceeds two – ninth of the greater by 4.

   [tex] \large{ \bold{ \color{blue}{ \underline{ \color{blue}{Solution : – }}}}}[/tex]

   Let the smaller odd integer be x and greater odd integer be ( X + 2 )

   [tex] \frac{2}{5} \\ [/tex] of smaller exceedo [tex] \frac{2}{5th} \\ [/tex] of greater odd by 4.

   [tex] => \frac{2x}{5} = \frac{2}{5}(x + 2) + 4 \\ [/tex]

   [tex] => \frac{2x}{5} = \frac{2x + 4 + 36}{9} \\ [/tex]

   [tex] = > 18x \: = 5(2x + 40)[/tex]

   [tex] = > 18x \: = 10x \: + 200[/tex]

   [tex] => 8x \: = 200[/tex]

   [tex] => X \: = 25 [/tex]

   [tex]=> X + 2 \: = 25 \: + 2 \\ \: \: \: \: \: \: \: \: \:\: \: \: = 27[/tex]

   So, two consecutive odd integers are 25 and 27 .

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   Hope it’s helps uhh….

   Be Brainly♡~

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