Advertisements
Advertisements
प्रश्न
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?
उत्तर
Suppose denominator of a rational number be x.
Numerator = Denominator – 2 = x – 2
According to the question,
`((x - 2) - 1)/(x - 1) = 1/2`
⇒ 2(x – 2 – 1) = x – 1
⇒ 2(x – 3) = x – 1
⇒ 2x – 6 = x – 1
⇒ 2x – x = 6 – 1
∴ x = 5
Hence, denominator = 5 and numerator = 5 – 2 = 3
Thus, the rational number is `3/5`.
APPEARS IN
संबंधित प्रश्न
Find a number whose double is 45 greater than its half.
Divide 184 into two parts such that one-third of one part may exceed one-seventh of another part by 8.
A sum of Rs 800 is in the form of denominations of Rs 10 and Rs 20. If the total number of notes be 50, find the number of notes of each type.
Seeta Devi has Rs 9 in fifty-paise and twenty five-paise coins. She has twice as many twenty-five paise coins as she has fifty-paise coins. How many coins of each kind does she have?
Ravish has three boxes whose total weight is \[60\frac{1}{2}\] kg. Box B weighs \[3\frac{1}{2}\] kg more than box A and box C weighs \[5\frac{1}{3}\] kg more than box B. Find the weight of box A.
The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.
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.
The length of a rectangle exceeds its breadth by 9 cm. If length and breadth are each increased by 3 cm, the area of the new rectangle will be 84 cm2 more than that of the given rectangle. Find the length and breath of the given rectangle.
Solve the following:
`(3x - 8)/(2x) = 1`
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.
