Question

3. (i) Find three consecutive numbers whose sum is 108.
fii) Find three consecutive odd numbers whose sum is 93.
(iii) Find three consecutive even numbers whose sum is 246.
(iv) The sum of three consecutive multiples of 7 is 777. Find these multiples.
[Hint. Let the numbers be 7x, 7x + 7 and 7x + 14]​

Answer 1

Answer:

i) 35,36,37

Step-by-step explanation:

let one number be x another x+1,x+2

x+x+1+x+2=108

solve this to get answer

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Answer 2

4) 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