The sum of seven consecutive numbers is 175. What is the sum of the first and the last numbera)58b)48c)60d)50e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Sum of seven consecutive numbers x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)=175 7x+21=175
7x=154
x=22
First number will be 22 and consecutive series is 22, 23, 24, 25, 26, 27, 28

Sum of first and last number =22+28=50

Answer

X+x+1+x+2+x+3+x+4+x+5+x+6=175 7x+21=175 7x=175-21 7x=154 x=22 now numbers are 22,23,24,25,26,27,28 first+last=22+28=50

Answer

Sum of seven consecutive numbers x+x+1+x+2+x+3+x+4+x+5+x+6=175 7x+21=175 7x=154 x=22 first number will be 22 last number will be 22+6=28 sum of first and last number =22+28=50

Answer

1st no=xsum=1757x+21=175so, x=227th no=1no1stno+7thno =50

Answer

Find average: 175/5=25.then consecutive number means continuous in series. Totally 7 numbers. Average should be in the middle. The numbers are 22 23 24 25, 26 27 28. We should find sum of first and second numbers. 22+28=50.

Answer

How

Answer

50

Answer

To solve this problem, we can use a mathematical approach. Let's break it down step by step:

Step 1: Understand the problem
We are given that the sum of seven consecutive numbers is 175. We need to find the sum of the first and the last number.

Step 2: Set up the equation
Let's assume that the first number in the series is 'x'. Since the numbers are consecutive, the next six numbers will be x + 1, x + 2, x + 3, x + 4, x + 5, and x + 6. We can write the equation as:
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 175

Step 3: Simplify the equation
Combine like terms:
7x + 21 = 175

Step 4: Solve for x
Subtract 21 from both sides:
7x = 154

Divide both sides by 7:
x = 22

Step 5: Find the sum of the first and the last number
The first number is x = 22. The last number is x + 6 = 22 + 6 = 28. Therefore, the sum of the first and the last number is 22 + 28 = 50.

Step 6: Verify the answer
Let's check if our answer is correct. The sum of the seven consecutive numbers should be 175. We can calculate it as follows:
22 + 23 + 24 + 25 + 26 + 27 + 28 = 175

Since the sum of the seven consecutive numbers is indeed 175, our answer of 50 for the sum of the first and the last number is correct.

Therefore, the correct answer is option D) 50.

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