1. Three numbers are in the ratio 2 : 3:4. The sum oftheir cubes is 72

1.	1. Three numbers are in the ratio 2 : 3:4. The sum oftheir cubes is 72171. Find the numbers.
Answer» Step-by-step explanation: Let the numbers be 2x, 3X and 4X then (2x) ^3 + (3x) ^3 + (4x) ^3 = 72171 8x^3 + 27x^3 + 64x^3 = 72171 take x^3 common then x^3(8 + 27 + 64) = 72171 x^3(99) = 72171 x^3 = 72171/99 x^3 = 729 x = ³√729 x = 9 Numbers are 2x = 2 * 9 = 18 3x = 3 * 9 = 27 4x = 4 * 9 = 36 Hope it will be HELPFUL

1. Three numbers are in the ratio 2 : 3:4. The sum oftheir cubes is 72171. Find the numbers.

Answer»

Step-by-step explanation:

Let the numbers be 2x, 3X and 4X

then

(2x) ^3 + (3x) ^3 + (4x) ^3 = 72171

8x^3 + 27x^3 + 64x^3 = 72171

take x^3 common

then

x^3(8 + 27 + 64) = 72171

x^3(99) = 72171

x^3 = 72171/99

x^3 = 729

x = ³√729

x = 9

Numbers are

2x = 2 * 9 = 18

3x = 3 * 9 = 27

4x = 4 * 9 = 36

Hope it will be HELPFUL

Discussion

No Comment Found

Related InterviewSolutions

1. ਜੇਕਰ ਕੋਈ ਵਕਰ ਰੇਖਾ ਆਪਣੇ ਆਪ ਨੂੰ ਨਾਂ ਕੱਟੇ ਤਾਂ ਉਹਵਕਰ ਹੁੰਦੀIf any curve does not intersect itself then the curve is called
Tanusec²u
Check whether the following equations are consistent or inconsistent. Solve them graphically.a) 3x+2y=5 2x - 3y = 7b) 2x - 3y = 8 4x -6y = 9c) 3/2 x + 5/3 y = 7 9x - 10y=14d) 5x-3y = 11 -10x+6y = -22e) x +2y = 8 2x+3y = 12f) x + y = 5 2x+2y = 10g) x - y = 8 3x-3y = 16h) 2x + y-6 = 0 4x-2y- 4 = 0i) 2x-2y - 2 = 0 4x-4y- 5 = 0
Can a perfect square be a term of the sequence 2,5,8,11... How can you realize this?
U wGENERAL SIMPLIFICATIONS273.A platform is to be built for a machine and the size would be 12 metreslong, 6 metres high and 3 decimetres thickness. How many bricks arerequired, if the size of a brick is 24 x 12 x 5 cm ?[I.T.I. July 1984, Motor Mech. Preliminary]
The map shows the location of the airport in a warehouse in a city. Though not displayed on the map, there is also a factory 88 miles due North of the warehouse. A truck travelled from the warehouse to the airport and then to the factory will is the total number of miles to truck traveled?A. 176 miles B. 198 milesC. 220 milesD. 250 milesPls only serious answers
Find the number of terms in the series 2, 5, 8, ... if the last term is 95.
Find the cube root of the following number A:5832 B:85.184 C:42.875with easy process explanation
One is asked to say a two digit number.a) How many two digit numbers are there ? b) What is the probability of getting a number in which one of the digits is 1 ? c) What is the probability of getting a number in which the product of the digits is a prime number ?
5. A cubical tank with edge 2 m is filled withwater. How many buckets of capacity 10 litrecan be filled from the tank?

1. Three numbers are in the ratio 2 : 3:4. The sum oftheir cubes is 72171. Find the numbers.​

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment

1. Three numbers are in the ratio 2 : 3:4. The sum oftheir cubes is 72171. Find the numbers.