Math, asked by worldofgaming12309, 11 months ago

sum of three consecutive multiples of 7 is 777 find these multiples

Answers

Answered by kartik2507
2

Answer:

252, 259, 266

Step-by-step explanation:

let the numbers be x, x+7, x+14

x + x + 7 + x + 14 = 777

3x + 21 = 777

3x = 777 - 21

3x = 756

x = 756/3

x = 252

the numbers are

x = 252

x + 7 = 252 + 7 = 259

x + 14 = 252 + 14 = 266

252, 259, 266

hope you get your answer

Answered by Blossomfairy
12

Given :

  • Sum of three consecutive multiples of 7 is 777.

To find :

  • The multiples

According to the question,

Let the multiples be x, x + 7 and x + 14.

And their sum is 777

So,

➞ x + x + 7 + x + 14 = 777

➞ 3x + 21 = 777

➞ 3x = 777 - 21

➞ 3x = 756

➞ x = 756 ÷ 3

➞ x = 252

Value of x :

➞ x

➞ 252

Value of x + 7 :

➞ x + 7

➞ 252 + 7

➞ 259

Value of x + 14 :

➞ x + 14

➞ 252 + 14

➞ 266

So,the multiples are 252,259 and 266.

---------------------------------------------------------

Verification :

It is given that the sum of three consecutive multiples is 777.

➞ 252 + 259 + 266

777

.°. Hence,Verified.

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