Question

If the difference of two numbers is 10 and their product is 119, find the difference of the cubes of the two numbers

Answer 1

Answer:

1st no. .=7

2nd no. =17

d=10

a=7:

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Answer 2

Answer:

4570

Step-by-step explanation:

Concept= Aptitude

Given= The relation of two numbers.

To Find= The two numbers.

Explanation=

We have been given that if the difference of two numbers is 10 and their product is 119, find the difference of the cubes of the two numbers.

Let the numbers be x and y.

According to the given conditions: x - y = 10 and xy = 119

So we need to find the difference of cubes as x³ - y³

We see that (a - b)³ = a³ - b³ - 3ab(a - b)

So if we cube x -y= 10 on both sides we get,

=> (x-y)³ = 10³

=> x³ - y³ - 3xy(x - y) = 1000

now substituting the values of x-y and xy we get

=> x³ - y³ - 3(119)(10) = 1000

=> x³ - y³ -3570 = 1000

=> x³ - y³ = 1000+3570

=> x³ - y³ = 4570

So we get that x³ - y³ is 4570.

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