One positive number is one-fifth of another number. The difference between the two numbers is 200, find the numbers.
Im not sure how to approach this problem
x-1/5 = x+200 ?
I also keep wanting to divided 200/5 .. Please help Im all over the place not sure what to do
M-n=200
M=n/5
n/5-n=200
-4/5n=200 notice it is negative, so this solution cannot be allowed, So we change the second equation to
M/5=n
Now
M-M/5=200
4/5 M=200
M=250
and n=50
To solve this problem, let's assign variables to the two numbers.
Let's say the first number is x and the second number is y.
According to the problem, one positive number is one-fifth of another number, which can be written as:
x = (1/5)y
The difference between the two numbers is 200, so we can write an equation for that:
y - x = 200
Now, let's substitute the value of x from the first equation into the second equation:
y - (1/5)y = 200
To simplify, let's get a common denominator:
(5/5)y - (1/5)y = 200
Now, combine like terms:
(4/5)y = 200
To isolate y, we can divide both sides of the equation by (4/5):
y = 200 / (4/5)
To divide fractions, we can multiply the numerator by the reciprocal of the denominator:
y = 200 * (5/4)
Simplifying further:
y = 250
Now, we can substitute this value of y into the first equation to find x:
x = (1/5)y
x = (1/5) * 250
x = 50
Therefore, the two numbers are 50 and 250.
No problem! Let's break down the problem step by step to solve it.
Let's assume that the first number is x. Since it is given that one positive number is one-fifth of another number, the second number would be 5 times the first number. So, the second number can be represented as 5x.
Now, it is also given that the difference between the two numbers is 200. So, we can set up the equation:
5x - x = 200
To simplify the equation, we combine like terms on the left-hand side:
4x = 200
To isolate x, we divide both sides of the equation by 4:
x = 200/4
Evaluating this expression, we find:
x = 50
Therefore, the first number (x) is 50, and the second number (5x) is 5 multiplied by the first number:
5x = 5 * 50 = 250
Thus, the two numbers are 50 and 250.
To summarize:
- Let x be the first number.
- The second number is 5 times the first number, so it is 5x.
- According to the given information, the difference between the two numbers is 200, which can be expressed as 5x - x = 200.
- Solving the equation, we find that x = 50.
- Therefore, the first number is 50, and the second number is 5 * 50 = 250.