Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
Close
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping

The cube of number is 8 times the cube of another number. If the sum of the cubes of the numbers is 243, then find the difference of the number​

The cube of number is 8 times the cube of another number. If the sum of the cubes of the numbers is 243, then find the difference of the number​

Grade:11

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
9 months ago
Dear Student

Let one number be x and the other number be y.

Given that,

Cube of one number is 8 times the cubes of other
x³=8y³.................(1)

Also,

Sum of the cube of these numbers is 243.
x³+y³=243......(2)

Now,

Solving the equation,

x³+y³=243

y³+8y³=243 [Using (1)]

9y³=243

y³=27

y=3

Substituting y=3 in (1),

x³ = 8y³

x³ = 8(3)³

x³ = 8(27)

x³ = 216

x = 6

Now,

Difference of the numbers:

x-y

=6-3

=3

Hence, the difference between both numbers is 3.

Thanks

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Register ICAT

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More