Advertisements
Advertisements
प्रश्न
Find a number whose double is 45 greater than its half.
उत्तर
Let the number be x .
According to the question,
\[2x = \frac{1}{2}x + 45\]
\[\text{ or }2x - \frac{1}{2}x = 45\]
\[\text{ or }\frac{4x - x}{2} = 45\]
or 3x = 90 [After cross multiplication]
\[\text{ or }x = \frac{90}{3}\]
or x = 30
Thus, the number is 30.
संबंधित प्रश्न
Solve: `(8x - 3)/(3x) = 2`
Solve: `z/(z + 15) = 4/9`
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is `3/2` . Find the rational number.
The difference between the squares of two consecutive numbers is 31. Find the numbers.
Find a number such that when 5 is subtracted from 5 times the number, the result is 4 more than twice the number.
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.
Sunita is twice as old as Ashima. If six years is subtracted from Ashima's age and four years added to Sunita's age, then Sunita will be four times Ashima's age. How old were they two years ago?
Five years ago a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ages.
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 numerator of a rational number is 3 less than the denominator. If the denominator is increased by 5 and the numerator by 2, we get the rational number 1/2. Find the rational number.
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.
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.
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 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.
A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of what was left on a lunch and followed that up with a two rupee tip. She spent half of the remaining amount on a book and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?
If `x/11 = 15`, then `x = 11/15`