Math, asked by bhanoday, 1 year ago

the sum of three consecutive multiples of 7 is 777. find these multiples

Answers

Answered by walhana
13
sum of three consecutive number is 777
let the numbers be _ 7x,7x+7 ,7x+14

(7x)+(7x+7)+ (7x+14) =777
21x +21=777
21x= 777-21=756
x= 756/21= 36

therefore multiples of 7 are

7x=7×36=252
7x+7= 7×36+7= 259
7x+14= 7×36+14= 266

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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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