Find a positive integer N, such that when N is added to 98, it gives the same result as N multiplied to 98.
To find the positive integer N that satisfies the given condition, we can set up an equation to represent the problem.
Let's assume N is the positive integer we're looking for. According to the problem, when N is added to 98, it gives the same result as N multiplied by 98.
Mathematically, we can represent this as:
N + 98 = N * 98
Now, let's solve this equation step by step:
1. Distribute N to both terms on the right side of the equation:
N + 98 = 98N
2. Rearrange the equation to isolate the terms containing N on one side:
98N - N = 98
Simplifying this, we get:
97N = 98
3. Divide both sides of the equation by 97 to solve for N:
N = 98 / 97
Performing the division, we find:
N ≈ 1.0206
Since we are looking for a positive integer N, we round the result up to the nearest integer to obtain:
N = 2
Therefore, the positive integer N that satisfies the given condition is 2. When 2 is added to 98, it equals 2 multiplied by 98.