Advertisements
Advertisements
प्रश्न
The ages of two sisters are 11 years and 14 years. In how many years’ time will the product of their ages be 304?
Advertisements
उत्तर
The ages of two sisters are 11 years and 14 years.
Let in x number of years the product of their ages be 304.
∴ (11 + x)(14 + x) = 304
154 + 11x + 14x + x2 = 304
x2 + 25x – 150 = 0
(x + 30)(x – 5) = 0
x = −30, 5
But, the number of years cannot be negative.
So, x = 5.
Hence, the required number of years is 5 years.
संबंधित प्रश्न
The sum S of n successive odd numbers starting from 3 is given by the relation: S = n(n + 2). Determine n, if the sum is 168.
A trader bought a number of articles for Rs. 1,200. Ten were damaged and he sold each of the remaining articles at Rs. 2 more than what he paid for it, thus getting a profit of Rs. 60 on the whole transaction. Taking the number of articles he bought as x, form an equation in x and solve it.
The total cost price of a certain number of identical articles is Rs. 4800. By selling the articles at Rs. 100 each, a profit equal to the cost price of 15 articles is made. Find the number of articles bought.
A hotel bill for a number of people for overnight stay is Rs. 4800. If there were 4 people more, the bill each person had to pay, would have reduced by Rs. 200. Find the number of people staying overnight.
Rs. 6500 was divided equally among a certain number of persons. Had there been 15 persons more, each would have got Rs. 30 less. Find the original number of persons.
In an auditorium, seats were arranged in rows and columns. The number of rows was equal to the number of seats in each row. When the number of rows was doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. Find:
- the number of rows in the original arrangement.
- the number of seats in the auditorium after re-arrangement.
Mohan takes 16 days less than Manoj to do a piece of work. If both working together can do it in 15 days, in how many days will Mohan alone complete the work?
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was 124. Determine their present ages.
Two years ago the ages of Radha and Meena were in the ratio 5 : 2. If the sum of their present ages is 39 years, their ages, 2 years ago, were ______.
₹ 320 were divided equally among 8 children. If 2 more children join them, each will get, how many rupees more or less?
