Math, asked by jannat9274, 1 year ago

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

Answers

Answered by riza0311
3

Answer:

let one no. X

so second no. X+1

third no. X+2

multiply by 7 all no.

first no. 7*X =7x

second no. 7* ( x +1) = 7x+7

third 7*(X+2)=7x+14

add all three no.

7x+7x+7+7x+14=21x+21

21x+21=777

21x=777-21

21x=756

X=756/21= 36

multiply by 7x,7x+7,7x+14

give me a thanks

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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