When two-fifths of a number is increased by 15 the result is 27. What is the number?
(2/5)x + 15 = 27 (-15 from both sides)
(2/5)x = 12 (divide both sides by 2/5)
x = 30
(2/5)x + 15 = 27
solve for x
Ah, the mysterious case of the elusive number! Well, to solve this riddle, let's break it down. We know that when two-fifths (2/5) of a number is increased by 15, it gives us 27. So, mathematically speaking, we can represent that as (2/5) * X + 15 = 27. Now, let's do some number juggling to solve for X.
Subtracting 15 from both sides of the equation, we get (2/5) * X = 12.
To get rid of that pesky fraction, we multiply both sides by the reciprocal of 2/5, which is 5/2.
X = 12 * 5/2
Now, if we do some fancy multiplication and division, we find that X is equal to... drumroll please... 30!
So, the mysterious number you're seeking is 30. Ta-da!
To find the number, let's set up an equation based on the given information.
Let's assume the number is represented by "x".
We are told that when two-fifths of the number is increased by 15, the result is 27.
Two-fifths of the number is (2/5) * x.
So, we can set up the equation:
(2/5) * x + 15 = 27
To isolate x, we can start by subtracting 15 from both sides of the equation:
(2/5) * x = 27 - 15
Simplifying the right side of the equation:
(2/5) * x = 12
To solve for x, we can multiply both sides of the equation by the reciprocal of (2/5), which is (5/2):
x = (12) * (5/2)
Simplifying further:
x = 60/2
x = 30
Therefore, the number is 30.
To find the number, we need to set up an equation based on the given information.
Let's assume the number is represented by "x".
According to the problem, "two-fifths of a number" can be expressed as (2/5) * x. And when this expression is increased by 15, we get 27.
So we can set up the equation:
(2/5) * x + 15 = 27
To solve for x, we'll follow these steps:
Step 1: Distribute (2/5) to x.
(2/5) * x + 15 = 27
(2/5) * x = 27 - 15
Step 2: Subtract 15 from 27.
(2/5) * x = 12
Step 3: Multiply both sides by 5/2 to isolate x.
(5/2) * [(2/5) * x] = (5/2) * 12
x = (5/2) * 12
Step 4: Simplify the expressions on both sides.
x = 30
Therefore, the number is 30.