Question

The sum of three consecutive numbers is 150. Find them.

The sum of three consecutive even numbers is 144. Find them.

The sum of three consecutive odd numbers is 177. Find them.
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Answer 1

Solution 1 :-

Let the three consecutive number be x , ( x + 1) and ( x + 2 )

According to the question ,

The sum of three consecutive numbers is 150

Therefore ,

x + ( x + 1 ) + ( x + 2) = 150

x + x + 1 + x + 2 = 150

3x + 3 = 150

3x = 150 - 3

3x = 147

x = 147/3

x = 49

Three consecutive numbers are :-

x = 49

x + 1 = 49 + 1 = 50

x + 2 = 49 + 2 = 51

Solution 2 :-

Let the three consecutive even numbers be (x +2) ( x + 4) , ( x + 6)

According to the question ,

The sum of three consecutive even numbers are 144 .

( x + 2 ) + ( x + 4) + (x + 6) = 144

x + 2 + x + 4 + x + 6 = 144

3x + 12 = 144

3x = 144 - 12

3x = 132

x = 132/3

x = 44

Therefore , three consecutive numbers are:-

x + 2 = 44 + 2 = 46

x + 4 = 44 + 4 = 48

x + 6 = 44 + 6 = 50

Solution 3 :-

Let three consecutive odd numbers be( x +1), ( x+3) , ( x + 5 )

According to that question ,

The sum of three odd numbers are 177

Therefore ,

(x + 1) ( x + 3) +( x + 5) = 177

x + 1 + x + 3 + x + 5= 177

3x + 9 = 177

3x = 177 - 9

3x = 168

x = 168/3

x = 56

Therefore , The three consecutive odd numbers are :-

x + 1 = 56 + 1 = 57

x + 3 = 57 + 3 = 60

x + 5 = 57 + 5 = 62

Answer 2

Answer:

1.57

2.60

3.62

hope it goes well