Question

The sum of three consecutive multiples of 7 is 777. Find these multiples
(Hint: Three consecutive multiples of 7 are'x.x+7 +14)​

Answer 1

Answer:

Sum of 3 consecutive multiples of 7 is 777. Let the consecutive multiples of 7 be 7n, (7n + 7) and (7n + 14). ⇒ (7n) + (7n + 7) + (7n + 14) = 777 ⇒ 21n + 21 = 777 ⇒ 21n = 756 ⇒ n = 36 Therefore, multiples of 7 whose sum is 777 are (7 x 36), (7 x 36) + 7 and (7 x 36) + 14.That is 252, 259 and 266.

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