Question

(a) The sum of two consecutive integers is 39. Find the two integers. ​

Answer 1

In context to questions asked

We have to determine the value of two integer

As per questions

We have

Sum of two consecutive integers is 39.

So let the integer be x and x +1

So from above

we can say that

$x + x + 1 = 39 \\ = > 2x = 39 - 1 \\ 2x = 38 \\ = > x = \frac{38}{2} \\ = > x = 19$

Hence value of the integers will be 19 and 20

Answer 2

To find : two consecutive integers

Given : sum of two consecutive integers is $39$ .

Solution :  

• As per given data we know that sum of two consecutive integers is $39$ .  
• We know that , two consecutive numbers differ by $1$ .
• Therefore , let $x$ and $x + 1$ be two consecutive numbers .
• According to condition we have , $x + (x +1) = 39$
• Using transposition method we find value of $x$ .

• $x + (x +1) = 39$  

       $2x + 1 = 39 \\2x = 39 -1 \\2x = 38 \\x = 19$

• Substituting the value of $x$ to find numbers .

         $x = 19 \\x +1 = 19 + 1 = 20$

Hence ,  two consecutive integers are $19$ and $20$ .