Question

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

Answer 1

Answer: Not the right subject but whatever.

252, 259 and 266 are the numbers.

Explanation:

Let x be the first multiple. Then the three multiples are x, (x+7) and (x+14). According to the question,

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

x + x + 7 + x + 14 = 777

3x + 21 = 777

3x = 777 - 21 = 756

x = 756/3

x = 252

Therefore,

1st multiple = x = 252

2nd multiple = x+7 = 259

3rd multiple = x+14 = 266

Hope this helps :)

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