Math, asked by uamamakhan544, 6 months ago

The sum of three consecutive multiples of 7 is 777. find these multiples ​

Answers

Answered by bson
2

Step-by-step explanation:

let 3 consecutive multiples of 7 be

7n, 7(n+1), 7(n-1)

7(n+n+1+n-1) =777

7×3n =777

n = 37

7x37= 259

7×38 = 266

7×36 = 252

multiples are 252, 259, 266

Answered by BrainlyKingdom
0

Numbers are 252, 259, 266

Given : Sum of Three Consecutive Multiples of 7 is 777

To Find : Three Numbers

Step By Step Explanation :

The Three consecutive multiples of 7 will be \textsf{x, x + 7} and \textsf{x + 14}. As their Sum is 777, We can write it as follows :

\longrightarrow\textsf{x + (x + 7) + (x + 14) = 777}

\longrightarrow\textsf{x + x + 7 + x + 14 = 777}

\longrightarrow\textsf{3x + 7 + 14 = 777}

\longrightarrow\textsf{3x + 21 = 777}

\longrightarrow\textsf{3x + 21 - 21 = 777 - 21}

\longrightarrow\textsf{3x = 756}

\longrightarrow\textsf{x = 756/3}

\longrightarrow\textbf{x = 252}

  • Now Three Numbers are \textsf{x, x + 7} and \textsf{x + 14}. Substitute the value of x in each and we get 252, 259, 266.

Therefore, Numbers are 252, 259, 266

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