*The sum of three consecutive even natural numbers, after multiplying with 2, 3 and 4, respectively is 148. Find the greatest of these numbers.*
1️⃣ 18
2️⃣ 23
3️⃣ 49
4️⃣ 48
very urgent guys please give right answer and I will mark you as brainlist
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Given:
The sum of three consecutive even natural numbers, after multiplying with 2, 3 and 4, respectively is 148
To find:
The greatest number
Solution:
Let the consecutive even numbers are 2x-2, 2x, and 2x+2
So as per the condition of the question the numbers are to be multiplied with 2, 3 and 4 so we get the numbers as
2(2x-2) = 4x-4
3(2x) = 6x
4(2x+2) = 8x+8
As per the condition of the question:
- 4x-4 + 6x + 8x+8 = 148
- 18x = 148-4
- 18x = 144
- x = 8
The greatest even number is given by: 2x+2
- 2×8+2
- 16+2
- 18
The greatest even number will be 18
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