Math, asked by summifatima79, 11 days ago

the sum of three consecutive multiples of 4 is60 find them​

Answers

Answered by Ladylaurel
30

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.

Answered by MathCracker
14

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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Learn more from brainly :

2+4+10+14+18+22+26+30+34+38+42+50+54+58 with any 3numbers ans is 60.

https://brainly.in/question/24760

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