Question

the sum of three consecutive multiples of 7 is 777. Find the multiples.

Answer 1

Step-by-step explanation:

let the three consecutive multiples be 7x, 7x+7, 7x+14

the sum of three consecutive multiple is 777

7x + (7x + 7) + (7x + 14) =777

21x + 21 =777

21x = 777 -21

21x = 756

x = 756/21

x= 36

substitute x

7x= 7 (36)= 252

(7x + 7) = 7(36) + 7 = 259

(7x +14 ) = 7 (36) + 14 = 262

therefore the three multiples are 252, 259, 262

Hope it help you

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