sum of three consecutive multiples of 7 is 777 find these multiples
Answers
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
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.
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★ Verification :
It is given that the sum of three consecutive multiples is 777.
➞ 252 + 259 + 266
➞ 777
.°. Hence,Verified.