Question
Download Solution PDFIf the sum of three consecutive numbers is 15, what is the square of the middle number?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sum of three consecutive numbers = 15
Formula Used:
If three consecutive numbers are x-1 , x , and x + 1 , then their sum is:
(x - 1) + x + (x + 1) = 15
Square of the middle number = x2
Calculation:
Let the three consecutive numbers be x - 1 , x , and x + 1 .
Their sum is:
⇒ (x - 1) + x + (x + 1) = 15
⇒ x - 1 + x + x + 1 = 15
⇒ 3x = 15
⇒ x = 15 ÷ 3
⇒ x = 5
The middle number is 5 .
Square of the middle number:
⇒ x2 = 52 = 25
The square of the middle number is 25.
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