Advertisements
Advertisements
प्रश्न
Rs. 480 is divided equally among ‘x’ children. If the number of children were 20 more, then each would have got Rs. 12 less. Find ‘x’.
Advertisements
उत्तर
Total amount = Rs. 480
Let the number of children be x.
The amount each children got = `480/x`
when the number of children were 20,
Amount of each children = `480/(x + 20)`
From the given information, we have:
`480/x - 480/(x + 20) = 12`
`(480x + 480 xx 20 - 480x)/(x(x + 20)) = 12`
`9600/(x(x + 20)) = 12`
`800/(x(x + 20)) = 1`
x2 + 20x – 800 = 0
x2 + 40x – 20x – 800 = 0
x(x + 40) – 20(x + 40) = 0
(x – 20)(x + 40) = 0
x = 20, – 40
Since, number of children cannot be negative.
So, x = 20
Number of children = 20.
संबंधित प्रश्न
The sum of the ages of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550. Find their ages.
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.
One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Find their present ages.
The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
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 a certain positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from the numerator and the denominator both, the fraction reduces by `1/14`. Find the fraction.
The ages of two sisters are 11 years and 14 years. In how many years’ time will the product of their ages be 304?
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 ______.
