the sum of three consecutive multiples of 4 is60 find them
Answers
Correct Question
The sum of three consecutive multiples of 4 is 60. Find them.
Answer:
The three consecutive multiples are 12, 20 and 24.
Step-by-step Explanation
To Find :-
- The three consecutive multiples of 4.
★ Solution :-
Given that,
- The sum of three consecutive multiples of 4 is 60.
ㅤㅤㅤㅤㅤㅤAssumption
Let us assume the three consecutive numbers as (m), (m + 4) and (m + 8).
Therefore,
- 4(m) + 4(m + 1) + 4(m + 2) = 60
On solving,
→ m + m + 4 + m + 8 = 60
→ m + m + m + 12 = 60
→ 3m + 12 = 60
→ 3m = 60 - 12
→ 3m = 48
→ m = 48/3
→ m = 16
We got, The value of m as 16.
Hence, The numbers are:-
→ m = 16
→ m + 4 = 16 + 4 = 20
→ m + 8 = 16 + 8 = 24
The numbers are 16, 20 and 24.
Question :-
the sum of three consecutive multiples of 4 is 60 find them.
Solution :-
Given :
- the sum of three consecutive multiples of 4 is 60.
Need to find :
- find the terms
Let :
- the numbers are m, m + 4, m + 8.
Now,
➨ m + m + 4 + m + 8 = 60
➨ 3m + 12 = 60
➨ 3m = 60 - 12
➨ 3m = 48
➨ m = 48/3
➨ m = 16
The three consecutive numbers are :
↛ m = 16
↛ m + 4 = 16 + 4 = 20
↛m + 8 = 16 + 8 = 24
The three conservative numbers are 16, 20 and 24.
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