Question

There are two numbers such that sum of the numbers is 27 and their difference is 3. Find the difference of their cubes. दो संख्याएँ ऐसी हैं जिनका योग 27 है और उनका अंतर 3 है। उनके घन का अंतर ज्ञात करें।

Answer 1

Answer: 1647

Explanation:Let he numbers be x and y respectively

According to conditions,

x + y = 27    ............Equation 1

x - y = 3    ................Equation  2

Adding Equation 1 and Equation 2 We get ,

2x = 30

x=15

Substituting value of x in equation 1

15 + y = 27

y = 27 - 15

y = 12

Now lets cube the value of x and y

so the values will be 3375 and 1728 respectively.

So the difference of the values will be

3375 - 1728 = 1647

Therefore the difference of the cubes of the given numbers is 1647

Hope it helps you