Advertisements
Advertisements
प्रश्न
The numerator of a fraction is 6 less than the denominator. If 3 is added to the numerator, the fraction is equal to \[\frac{2}{3}\]. What is the original fraction equal to?
उत्तर
Therefore, the numerator will be ( x - 6) .
\[ \therefore\text{ Fraction }= \frac{x - 6}{x}\]
According to the question,
\[\frac{x - 6 + 3}{x} = \frac{2}{3}\]
or\[ \frac{x - 3}{x} = \frac{2}{3}\]
or 3x - 9 = 2x [After cross multiplication]
or 3x - 2x = 9
or x = 9
\[\text{ Thus, the original fraction }= \frac{9 - 6}{9} = \frac{1}{3}\]
APPEARS IN
संबंधित प्रश्न
Solve: `(9x)/(7 - 6x) = 15`
Solve: `z/(z + 15) = 4/9`
I have Rs 1000 in ten and five rupee notes. If the number of ten rupee notes that I have is ten more than the number of five rupee notes, how many notes do I have in each denomination?
At a party, colas, squash and fruit juice were offered to guests. A fourth of the guests drank colas, a third drank squash, two fifths drank fruit juice and just three did not drink any thing. How many guests were in all?
There are 180 multiple choice questions in a test. If a candidate gets 4 marks for every correct answer and for every unattempted or wrongly answered question one mark is deducted from the total score of correct answers. If a candidate scored 450 marks in the test, how many questions did he answer correctly?
In a rational number, twice the numerator is 2 more than the denominator. If 3 is added to each, the numerator and the denominator, the new fraction is 2/3. Find the original number.
A steamer goes downstream from one point to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1 km/hr, find the speed of the steamer in still water and the distance between the ports.
Bhagwanti inherited Rs 12000.00. She invested part of it as 10% and the rest at 12%. Her annual income from these investments is Rs 1280.00. How much did she invest at each rate?
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 : 2. Find their present ages.
If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is `1/2`. What is the rational number?
