the sum of four conseutive multiple of7 is 70 find these multiples
Answers
Answer:
Hey!
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Let 4 consecutive numbers be- n, n+1, n+2, n+3
As they are multiples of 7,
Consecutive multiples are - 7n, 7(n+1) , 7(n+2) , 7 (n+3)
Sum of these 4 consecutive multiples = 70
7n+7(n+1)+7(n+2)+7(n+3)= 70
7n+7n+7+7n+14+7n+21=70
28n+42=70
28n= 70-42
28n=28
n= 1
Now,
One number = 7×1=7
Second number = 7(1+1) , 7×2=14
Third number= 7(1+2) , 7×3=21
Fourth number = 7(1+3), 7×4=28
CHECK -:
7+14+21+28=70 , as told in the Question.
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Step-by-step explanation:
QUESTION ;
The sum of four consecutive multiple of 7 is 70, find the multiple ...
METHOD TO DO;
Just let the four consecutive multiple as x , 2x , 3x , 4x and add all equating the total by 70 to find out the value of x , after that substituting value of x to all the term , we will get the actual multiples
SOLUTION ;
Let, the multiples be x, 2x , 3x and 4x
than, according to question,
x + 2x + 3x + 4x = 70
10x =70
x = 70/10
x = 7
Hence,
x = 7
2x = 14
3x = 21
4x = 28 answer