Question

if the sum of 2 consecutive
multiples of 7 are 693 Find the
nos​

Answer 1

Given:

Sum of 2 consecutive  multiples of 7 is 693

To Find:

Numbers following above condition

Solution:

Let the two numbers be 7n and and 7(n+1)  where n is a natural number.

Now, according to question

⇒ 7n+7(n+1)= 693

⇒ 7n+7n+7= 693

⇒ 14n+7= 693

⇒ 14n= 693-7

⇒ 14n= 686

$\longrightarrow\mathrm\pink{n=\dfrac{\cancel{686}}{\cancel{14}}=49}$

So, the required numbers are

⟼ 7n= 7(49)= 343

⟼ 7(n+1)= 7(49+1)= 7(50)= 350

Hence, the required numbers are 343 and 350.