Question

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

Answer 1

Step-by-step explanation:

As given,the three consecutive multiples of 7 will be of the form:

x,x+7 and x+14

Then according to the question,

x+x+7+x+14=777

3x+21=777

3x=756

x=

3

756

=252

Multiples are 252,259,266

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Answer 2

Answer:

252, 259, and 266

Step by step explanation:

The sum of three consecutive multiples of 7 is 777 (given)

TO FIND:

All the three multiples whose sum is 777

Steps for getting the answer:

• Take some value and get three consecutive term of that.
• Then add according to the question to get the given result.

Here is the solution:

Let first number be n

So other two number will be (n+7), (n+14) [as they are multiples of 7]

Now,

According to the question,

Their sum is equal to 777

⇒ n + (n+7) + (n+14) = 777

⇒ 3n + 21 = 777

⇒ 3n + 21 - 21 = 777 - 21

[By subtracting 21 from both the sides.]

⇒ 3n = 756

⇒ 3n ÷ 3 = 756 ÷ 3

[By dividing both the side by 3]

⇒ n = 252

Thus,

The first multiple is n = 252

Second multiple = (n+7) = 252 + 7 = 259

And the third multiple = (n+14) = 252 + 14 = 266

Hence,

The three consecutive multiplies of 7 whose sum is 777 are 252, 259, and 266