Eric has a riddle "I am thinking of a fraction that is equivalent to 2/5 and the numerator is is 18 less than the denominator ." What is Eric's fraction?
n / (n + 18) = 2 / 5
5 n = 2 n + 36
I got 12/30
lets roleplay here! maybe....
12/30 💅
To solve this riddle, we need to find a fraction that is equivalent to 2/5 and has a numerator that is 18 less than the denominator.
Let's represent the denominator as 'x'. According to the riddle, the numerator will be 18 less than the denominator, which means the numerator will be 'x - 18'.
Now, we can set up an equation to find the value of 'x'. Since the fraction is equivalent to 2/5, we can write the equation as:
(x - 18) / x = 2 / 5
To solve this equation, we can cross-multiply:
5(x - 18) = 2x
Expanding the equation:
5x - 90 = 2x
Combining like terms:
5x - 2x = 90
3x = 90
Divide both sides by 3:
x = 90 / 3
x = 30
Now, we have found the denominator, which is 30. To find the numerator, we substitute the value of 'x' back into the expression 'x - 18':
numerator = 30 - 18 = 12
Therefore, Eric's fraction is 12/30.