Two number are in the ratio 7:5 if 2 is subtracted from each of them it becomes 3:2 find the number
Please try it faster
Everyone on this site is a volunteer. They will get to your question when they can, so please be respectful.
Also know that they will not do your work for you, instead, you can submit an answer or get someone to walk you through finding out the answer.
To solve this problem, we can set up a system of equations.
Let's say the two numbers are 7x and 5x, where x is a common multiplier.
According to the problem, if we subtract 2 from each number, we get the ratio 3:2. This can be written as:
(7x - 2) / (5x - 2) = 3/2
To solve this equation, we can cross-multiply:
2(7x - 2) = 3(5x - 2)
Simplifying this equation gives us:
14x - 4 = 15x - 6
Moving the variables to one side and the constants to the other side gives us:
15x - 14x = 6 - 4
x = 2
Now that we have the value of x, we can substitute it back into the original expression to find the numbers:
7x = 7 * 2 = 14
5x = 5 * 2 = 10
Therefore, the numbers are 14 and 10.