Question

The sum of three consecutive integers is 7 more than the smallest of the integers. Find the integers.
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Answer 1

Answer:

Ya allah mujhe iska answer dene ka toufik ata farma

Answer 2

Answer:

∴ The required three consecutive integers are $2,3$ and $4$.

Step-by-step explanation:

• In context to question asked,
• We have to find the the three consecutive integers.
• It is given that, the sum of three consecutive integers is $7$ more than the smallest of the integers.

• Let, $x,x+1$ and $x+2$ be the three consecutive numbers.
• Now, according to given data, the required equation is,

      $x+(x+1)+(x+2)=x+7$

                      ∴  $3x+3=x+7$

• Collecting the terms of variables at one side and the constant terms at another side, we get

                            ∴ $3x-x=7-3$

                                  ∴ $2x=4$

                                  ∴ $x=\frac{4}{2}$

                                  ∴ $x=2$

• ∴ The value of second integer, $x+1=2+1=3$.

         The value of second integer, $x+2=2+2=4$              

• ∴ The required three consecutive integers are $2,3$ and $4$.