Advertisements
Advertisements
प्रश्न
Three positive numbers are in the ratio `1/2 : 1/3 : 1/4`. Find the numbers if the sum of their squares is 244.
Advertisements
उत्तर
Given, three positive numbers are in the ratio `1/2 : 1/3 : 1/4 = 6 : 4 : 3`
Let the numbers be 6x, 4x and 3x.
From the given information,
(6x)2 + (4x)2 + (3x)2 = 244
36x2 + 16x2 + 9x2 = 244
61x2 = 244
x2 = 4
x = ± 2
Since, the numbers are positive, so x = 2.
Thus, the numbers are 12, 8 and 6.
संबंधित प्रश्न
The product of two consecutive integers is 56. Find the integers.
Find the two natural numbers which differ by 5 and the sum of whose squares is 97.
The sum of the squares of two consecutive positive even numbers is 52. Find the numbers.
Divide 20 into two parts such that three times the square of one part exceeds the other part by 10.
The sum S of first n even natural numbers is given by the relation S = n(n + 1). Find n, if the sum is 420.
In a two-digit number, the ten’s digit is bigger. The product of the digits is 27 and the difference between two digits is 6. Find the number.
Given that the sum of the squares of the first seven natural numbers is 140, then their mean is ______.
The sum of two natural numbers is 5 and the sum of their reciprocals is `5/6`, the numbers are ______.
The product of two consecutive even whole numbers is 24, the numbers are ______.
In a school, a class has 40 students out of which x are girls. If the product of the number of girls and number of boys in the class is 375; the number of boys in the class is ______.
