Math, asked by saipavankkp3238, 2 days ago

The sum of four consecutive number is 22. what is the highest number​

Answers

Answered by Teluguwala
10

Given :-

  • The sum of four consecutive numbers is 22.

To Find :-

  • What is the highest number.

Solution :-

Given :

  • The sum of four consecutive numbers = 22

Let,

  • The four Consecutive numbers = x, x+1, x+2, x+3

According to the question by substituting those values we get,

 \sf \implies \: (x)  \: + \:  (x + 1) \:  + \:  (x + 2)  \: + \:  (x + 3) \:  =  \: 22

\sf \implies \: x \: + \:  x + 1 \:  + \:  x + 2  \: + \:  x + 3 \:  =  \: 22

\sf \implies \:4x + 6 \:  =  \: 22

\sf \implies \:4x  \:  =  \: 22   - 6

\sf \implies \:4x  \:  =  \: 16

 \displaystyle\sf \implies \:x  \:  =  \:  \cancel \frac{16}{4}

 \displaystyle\sf \implies \:x  \:  =  \:  \frac{4}{1}

 \displaystyle\bf \implies \: \red{x  \:  =  \:  4}

Now,

➠ First number = x = 4

➠ Second number = x+1 = 4+1 = 5

➠ Third number = x+2 = 4+2 = 6

➠ Fourth number = x+3 = 4+3 = 7

Here,

  • 7 is the highest number

Hence, The highest number in four consecutive numbers is 7 .

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