Math, asked by msamadhiya2012, 5 months ago

The sum of three consecutive multiples of 7 is 777. Find the multiples
with process​

Answers

Answered by devendrakushwaha77
1

Answer:

Because (7x + 7 + 7) will be the next number that is multiple of 7 after (7x + 7). Now according to the question, the sum of these three numbers is equal to 777. Hence, three consecutive multiples of 7 whose sum is equal to 777 are 252, 259 and 266.

Step-by-step explanation:

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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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