the ratio of the difference obtained by subtracting 2 from thrice a number to the sum of twice the same number and 5 is13:15.what is the number?
(3N-2)/(2N+5) = 13/15.
13(2N+5) = 15(3N-2),
26N + 65 = 45N - 30, N = 5.
Let's denote the number as "x".
According to the given information, the ratio of the difference obtained by subtracting 2 from thrice the number (3x - 2) to the sum of twice the same number and 5 (2x + 5) is 13:15.
So we can set up the equation:
(3x - 2) / (2x + 5) = 13/15
To solve for x, we will cross-multiply and solve for x:
15(3x - 2) = 13(2x + 5)
45x - 30 = 26x + 65
45x - 26x = 65 + 30
19x = 95
x = 95 / 19
x = 5
Therefore, the number is 5.
To solve this problem, let's break it down step by step:
1. Let's assume the number we're looking for is "x".
2. The difference obtained by subtracting 2 from thrice the number is 3x - 2.
3. The sum of twice the same number and 5 is 2x + 5.
4. According to the given ratio, (3x - 2) : (2x + 5) = 13 : 15.
To find the value of x, we'll set up and solve the equation:
(3x - 2) / (2x + 5) = 13 / 15
15(3x - 2) = 13(2x + 5)
45x - 30 = 26x + 65
45x - 26x = 65 + 30
19x = 95
x = 95 / 19
x = 5
Therefore, the number is 5.