Question

The sum of three consecutive numbers is 132. What will be the square of the largest number?

Answer 1

Hi !!


Let three consecutive numbers are X , X + 1 and x + 2.




Therefore,


X + X + 1 + X + 2 = 132



3X + 3 = 132


3X = 132 - 3


3X = 129



X = 43







Therefore,


First number = X = 43


Second number = X + 1 = 44


And,

Third number = X + 2 = 45.



Clearly , 45 is the largest number and,


45² = 2025.

Answer 2

Concept:

Consecutive number means the numbers which follow one another in a particular order.

Given:

The sum of three consecutive numbers is 132.

Find:

The square of the largest number

Step-by-step explanation:

Let the middle number be x.

So, the first number = x - 1

Third number = x + 1

ATQ:

(x - 1) + (x) + (x +1) = 132

x - 1 + x + x + 1 = 132

3x = 132

x = 44

So, the numbers are:

43, 44 and 45

The square of the largest number = 45² = 2025.

Therefore, the square of the largest number is 2025.

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