sum of three consecutive multiples of 4 is 144. Find these multiples.
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Answered by
2
Answer:
The three consecutive multiples of 4 are - 44 , 48 , 52
Step-by-step explanation:
Let the consecutive multiples of 4 be - x , (x+4) , (x+8).
The consecutive multiples of four add up to 144.
So, x + x + 4 + x + 8 = 144
3x + 12 = 144
3x = 144 - 12
3x = 132
x = 132 /3
x = 3.
The consecutive multiples of 4 are -
x = 44
x + 4 = 44 + 4 = 48
x + 8 = 44 + 8 = 52
Therefore, the three consecutive multiples of four that add up to 144 are 44, 48, 52.
Hope it helps ! : )
Answered by
1
To find : three multiples of
Given : sum of three consecutive multiples of is 144.
Solution :
- Let the first multiple of 4 be , second consecutive multiple of 4 be and third multiple of 4 be .
- Then we write given condition as :
- Now , adding like terms together we get ,
- Substituting value of in given multiples we get,
- First multiple =
- Second multiple =
- Third multiple =
Hence , multiples are .
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