Find three consecutive integers such that their sum is 78.

1.	Find three consecutive integers such that their sum is 78.
Answer» Sum of three consecutive numbers = 78 Let first number = x Then second number = x + 1 and third number = x + 2 Then x + x+1+x + 2 = 78 ⇒ 3x + 3 = 78 ⇒ 3x = 78 – 3 = 75 ⇒ x = 75/ 3 = 25 ∴ First number = 25 Second number = 25 + 1 = 26 and third number = 26 + 1 = 27 Then the three required numbers are 25, 26,27

Answer»

Sum of three consecutive numbers = 78

Let first number = x

Then second number = x + 1

and third number = x + 2

Then x + x+1+x + 2 = 78

⇒ 3x + 3 = 78

⇒ 3x = 78 – 3 = 75

⇒ x = 75/ 3 = 25

∴ First number = 25

Second number = 25 + 1 = 26

and third number = 26 + 1 = 27

Then the three required numbers are 25, 26,27

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