answer me from attach ment
Answers
QuEsTiOn :-
The sum of three consecutive multiples of 8 is equal to eight times the sum of the first to
consecutive multiples of 6. Find each of the three multiples of 8.
Answer :-
The consecutive multiples of 8 are 40, 48 and 56
Given:
Sum of three consecutive multiples of 8 is equal to eight times the sum of the first two consecutive multiples of 6.
To find:
The three multiples of 8.
SoLuTioN :-
Consider ,
The three multiples of 8 be x, x + 8 and x + 16
The first two multiples of 6 are 6 and 12
Now , as per the Question :-
x + x + 8 + x + 16 = 8 ( 6 + 12)
3x + 24 = 144
3x = 144 - 24
↠ 3x = 120
↠ x = 120/3
↠ x = 40
First multiple = 40
Other multiples:
↠ x + 8 = 40 + 8 = 48
↠ x + 16 = 40 + 16 = 56
Hence ,
The required consecutive multiples of 8 are 40, 48 and 56.
☆ Question ☆
The sum of three consecutive multiples of 8 is equal to eight times the sum of the first two consecutive multiple of 6. Find each of three multiples of 8.
☆ Solution ☆
Given
- The sum of three consecutive multiples of 8 is equal to eight times the sum of the first two consecutive multiple of 6.
To find
- Each of three multiples of 8.
Step-by-Step-Explaination
Let,
The three multiples of 8 be x, x + 8 and x + 16
The first two multiples of 6 are 6 and 12
According to the question
x + x + 8 + x + 16 = 8 ( 6 + 12 )
3x + 24 = 144
3x = 144 - 24
=> 3x = 120
=> x =
=> x = 40
First multiple = 40
Other multiple
x + 8 = 40 + 8 = 48
x + 16 = 40 + 16 = 56
Therefore, the consecutive multiples of 8 are 40, 48 and 56.