Math, asked by utkasha, 1 year ago

the sum of three consecutive odd number is 21.Find the number​

Answers

Answered by QueenOfKnowledge
6

Answer:

x = first

x + 2 = second

x + 4 = third {consecutive integers increase by 2}

x + x + 2 + x + 4 = 21 {sum of three consecutive odd integers is 21}

3x + 6 = 21 {combined like terms}

3x = 15 {subtracted 6 from each side}

x = 5 {divided each side by 3}

x + 2 = 7 {substituted 5, in for x, into x + 2}

x + 4 = 9 {substituted 5, in for x, into x + 4}

5, 7, and 9 are the three consecutive odd integers

Answered by ITZWildBoy
6

\huge\underline\mathfrak\green{Solution}

Let three consecutive number be x, x + 2 and x + 4

Sum = 21

3x + 6 =21

x = 5

Therefore numbers are 5, 7 and 9

Thanks!! ❤✨

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