Find two numbers whose sum is 24 and who...

Find two numbers whose sum is 24 and whose product is as large as possible.

Text Solution

Verified by Experts

The correct Answer is:

12 and 12

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos
APPLICATION OF DERIVATIVES
KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos
APPLICATION OF DERIVATIVES
KUMAR PRAKASHAN|Exercise EXERCISE - 6.4|23 Videos
ANNUAL EXAMINATION :SAMPLE PAPER
KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
APPLICATION OF INTEGRALS
KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Find two numbers whose sum is 27 and product is 182.

Find two positive numbers whose sum is 15 and the sum of whose squares is minimum.

Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

Find two number whose arithmetic mean is 5 and the geometric mean is 4.

Find a complex number whose modulus is 4 and principal argument is (5pi)/(6) .

Find two positive numbers whose difference is 12 and whose A.M. exceeds the G.M. by 2.

Find equation of line whose sum and product of intercepts on axis are 1 and -6 respectively.

Find equation of line whose sum and product of intercepts on axis are 7 and 12 respectively.

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.5

What is the maximum value of the function sin x + cos x ?
Text Solution
|
Find the maximum value of 2x^(3)-24x+107 in the interval [1, 3]. Find ...
Text Solution
|
It is given that at x = 1, the function x^(4)-62x^(2)+ax+9 attains its...
Text Solution
|
Find the maximum and minimum values of x+sin(2x) on [0, 2pi].
Text Solution
|
Find two numbers whose sum is 24 and whose product is as large as poss...
Text Solution
|
Find two positive numbers x and y such that x+y=60 and xy^(3) is maxim...
Text Solution
|
Find two positive numbers x and y such that their sum is 35 and the pr...
Text Solution
|
Find two positive numbers whose sum is 16 and the sum of whose cubes i...
Text Solution
|
A square piece of tin of side 18 cm is to be made into a box without t...
Text Solution
|
A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...
Text Solution
|
Show that of all rectangles inscribed in a given fixed circle, the squ...
Text Solution
|
Show that the right circular cylinder of given surface and maximum vol...
Text Solution
|
Of all the closed cylindrical cans (right circular), of a given volume...
Text Solution
|
A wire of length 28 m, is to be cut into two pieces. One of the pieces...
Text Solution
|
Prove that the volume of the largest cone that can be inscribed in a s...
Text Solution
|
Show that the right circular cone of least curved surface and given vo...
Text Solution
|
Show that the semi-vertical angle of the cone of the maximum volume an...
Text Solution
|
Show that semi - vertical angle of right circular cone of given surfac...
Text Solution
|
The point on the curve x^(2)=2y which is nearest to the point (0, 5) i...
Text Solution
|
For all real values of x, the minimum value of f(x)=(1-x+x^(2))/(1+x+x...
Text Solution
|