There are two distinct natural numbers. Each is first increased by 10 then by same percentage as each was increased for the first time. Each number finally results in 72 Find the difference between the numbers.
i have received your answer as your faculty posted the answer but in that ans. I didn't understand one step which is given below
How it comes
percentage increase for first time = 10/x that step i didn't get please explain again
% increase is the amount of increase, divided by the original value.
In this case, the number x is increased by 10.
If 20 is increased by 10, that is a 50% increase, since 10/20 = 0.50
If 40 is increased by 10, that is a 25% increase, since 10/40 = 0.25
To understand the step where it says "percentage increase for the first time = 10/x," let's break it down further.
We are given that there are two distinct natural numbers, let's call them A and B. Each number is first increased by 10 and then by the same percentage as the first increase.
So, we have:
New value of A = A + 10
New value of B = B + 10
Now, let's consider the percentage increase for the first time. It is given as 10/x. Here's how we can understand it:
The original value of A was A. After the first increase of 10, the new value becomes A + 10. The percentage increase can be calculated as (10 / original value of A).
Similarly, the original value of B was B. After the first increase of 10, the new value becomes B + 10. The percentage increase can be calculated as (10 / original value of B).
Since both numbers are increased by the same percentage, we can assume that the percentage increase for A is equal to the percentage increase for B. Therefore, we can equate the two equations:
10 / original value of A = 10 / original value of B
To simplify it further, we can cross multiply:
(original value of A) * 10 = (original value of B) * 10
This can be further simplified to:
original value of A = original value of B
So, based on this information, the original numbers A and B are equal. This means that the difference between the numbers is 0.