Question

The sum of three consecutive multiples of 7 is 777 find these multiples
(hint let the number be 7x, 7x +7 and 7x +14

Answer 1

as it is given
$7x + 7x + 7 + 7x + 14 = 777 \\ 21x + 21 = 777 \\ 21x = 777 - 21 = 21x = 756 \\ x = \frac{756}{21} = 36$

$7x = 7 \times 36 = 252$
$7x + 7 = 259$
$7x + 14 = 252 + 14 = 266$
Hope it helps mark it brainliest plz

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