Question

the sum of three consecutive Multiples of7 is 777 find these multiples

Answer 1

Let 1st multiple of 7 be (7x)----- then:-2nd=7(x+1)--------and the 3rd=7(x +2)so------ 7x + 7x +7 + 7x + 14= 777--------21x + 21= 777---- 21x=777-21----- 21x = 756------ X=756÷21=36----x = 36 1st multiple =7 × 36 =252------2nd multiple =252+7=259---- 3rd multiple =252+14 =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