the sum of three consecutive numbers is 156. find the number which is a multiple of 13 out of these numbers?
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Answered by
15
nd 52 is a multiple of 13...
I hope it helps u a lot....
if it is helpful for u plz mark me a brainlist ......
I hope it helps u a lot....
if it is helpful for u plz mark me a brainlist ......
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27jenny:
tq 4 mqrking me a brainliest
Answered by
21
Hey Mate !
Here is your solution :
Given,
=> Sum of 3 consecutive numbers = 156
Let,
The first number is x.
So, Second number = ( x + 1 )
So, Third number = ( x + 1 + 1 ) = ( x + 2 )
Now,
=> x + x + 1 + x + 2 = 156
=> 3x + 3 = 156
=> 3 ( x + 1 ) = 156
=> ( x + 1 ) = 156 ÷ 3
=> ( x + 1 ) = 52
=> x = 52 - 1
=> x = 51
Now,
First number = x = 51
Second number = x + 1 = 51 + 1 = 52
Third number = x + 2 = 51 + 2 = 53
Again,
Factors of ,
51 = 1 , 3 , 17 , 51
52 = 1 , 4 , 13 , 52
53 = 1 , 53
Since , 13 is a factor of 52.
Therefore, 52 is a multiple of 13.
==============================
Hope it helps !! ^_^
Here is your solution :
Given,
=> Sum of 3 consecutive numbers = 156
Let,
The first number is x.
So, Second number = ( x + 1 )
So, Third number = ( x + 1 + 1 ) = ( x + 2 )
Now,
=> x + x + 1 + x + 2 = 156
=> 3x + 3 = 156
=> 3 ( x + 1 ) = 156
=> ( x + 1 ) = 156 ÷ 3
=> ( x + 1 ) = 52
=> x = 52 - 1
=> x = 51
Now,
First number = x = 51
Second number = x + 1 = 51 + 1 = 52
Third number = x + 2 = 51 + 2 = 53
Again,
Factors of ,
51 = 1 , 3 , 17 , 51
52 = 1 , 4 , 13 , 52
53 = 1 , 53
Since , 13 is a factor of 52.
Therefore, 52 is a multiple of 13.
==============================
Hope it helps !! ^_^
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