Question

The sum of three consecutive integers add up to 51.What are these integers?
give Answer with explanation.​

Answer 1

Answer:

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Three consecutive integers add up to 51. What are these integers?

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Solution:

Let's form a linear equation for the given problem statement.

Let the first integer be x.

Then the next consecutive two integers will be x + 1 and x + 2

x + (x + 1) + (x + 2) = 51 [Sum of the 3 consecutive integers is 51]

⇒ 3x + 3 = 51

⇒ 3x = 51 - 3

⇒ 3x = 48

⇒ x = 48/3

⇒ x = 16,

Thus, x + 1 = 17, x + 2 = 18

Thus, the three consecutive integers are 16, 17, and 18.

Answer 2

Let the consecutive integers be x, x+1, x+2.

Sum of these integers is given to be 51.

Thus equation becomes : x + x + 1 + x + 2 = 51

3x + 3 = 51

Transposing 3 to the RHS,

3x = 48

Now dividing both sides by 3, we get

x= 43/3 = 16

Hence the consecutive integers are 16, 17, 18

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