The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, fin

Question

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

Options:

A . 4

B . 6

C . 3

D . 2

Answer: Option A
LET THE NUMBERS BE 2X AND 3X. (2X)³+(3X)³=280 8X³+27X³=280 35X³=280 X³=8 X=2 THE NUMBERS ARE 4 AND 6.

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their are....areas if the total cost of both are the same?

Question 2. Find the fourth proportion to 3, 7 and 9.....

Question 3. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?....

Question 4. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these....respectively. What will be the ratio of increased seats ?

Question 5. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller ....the ratio 12 : 23. The smaller number is :________?

Question 6. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins....30 in all, how many 5 p coins are there?

Question 7. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?....

Question 8. A surn of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D....Rs. 1000 more than D, what is B’s share ?

Question 9. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and g....and 10% respectively, what will be the new ratio ?

Question 10. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is ....is 5 : 8, then the second number is :__________?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0