you have 2 positive numbers. One number is one-fifth of the other number.The difference between the two numbers is 152, find the numbers.

Let's call the smaller number x and the larger number y.

According to the given information, we know that one number is one-fifth of the other number. So, we can write the equation:

x = (1/5) * y ----(Equation 1)

It is also given that the difference between the two numbers is 152. Mathematically, we can represent this as:

y - x = 152 ----(Equation 2)

Now, we can solve this system of equations to find the values of x and y.

Substituting the value of x from Equation 1 into Equation 2, we get:

y - (1/5) * y = 152

Simplifying the equation, we have:

(4/5) * y = 152

To isolate y, we can multiply both sides of the equation by 5/4:

y = (152 * 5) / 4

y = 190

Now, substitute the value of y back into Equation 1 to find the value of x:

x = (1/5) * 190

x = 38

So, the two numbers are 38 and 190.

To find the two numbers, let's assign variables to them. Let's say the bigger number is "x" and the smaller number is "y".

Based on the given information, we can write two equations:

1. The first equation states that one number is one-fifth of the other number. So we can write it as: y = (1/5)x.

2. The second equation states that the difference between the two numbers is 152. So we can write it as: x - y = 152.

Now we have a system of two equations with two variables. We can solve it using substitution or elimination method.

Let's solve it using substitution method:

Substitute the value of y from the first equation (y = (1/5)x) into the second equation:

x - (1/5)x = 152

Multiply both sides of the equation by 5 to get rid of the fraction:

5x - x = 760

Combine like terms:

4x = 760

Divide both sides by 4:

x = 760 / 4

x = 190

Now substitute the value of x into the first equation (y = (1/5)x):

y = (1/5)(190)

y = 190 / 5

y = 38

Therefore, the two numbers are 190 and 38.

Let x = one number

x - x/5 =152

Solve for x, then x/5.