Question

The sum of three consecutive multiples of 7 is 777. Find these multiples.(hint:three consecutive multiples of 7 are x,x+7,x+14)

Answer 1

Hii.....mate!! Here is ur ans

Let, Ist consecutive multiples of 7 = x
IInd consecutive multiple of 7 = x+7
IIIrd consecutive multiple of = x+14

A.T.Q

=> x + x + 7 + x + 14 = 777

=> 3x + 21 = 777

=> 3x = 777 - 21

=> 3x = 756

=> x = 756/3

=> x = 252

Hence, Ist consecutive multiples of 7 =
x = 252

IInd consecutive multiple of 7 = x + 7
= 252 + 7
= 259

IIIrd consecutive multiple of 7 = x + 14
= 252 + 14
= 266

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Answer 2

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