Question

14.The sum of two consecutive positive integers is 99. Find the numbers.

Answer 1

Given: The sum of two consecutive positive integers is$99$.

We have to find the numbers.

We are solving in the following way:

Let assume the two consecutive numbers be$x\ and\ x+1$.

From the given statement we can write:

$x+x+1=99$

Solving the above equation further we get,

$=>2x+1=99\\=>2x=99-1\\=>2x=98\\\\=>x=\frac{98}{2} \\\\=>x=49$

So, the two consecutive numbers will be:

$=>x=>49\\=>x+1=>49+1=>50$

Hence, the two consecutive positive numbers are$49\ and\ 50$.