BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Try to do it in shortest time

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 299
Joined: Tue Feb 15, 2011 10:27 am
Thanked: 9 times
Followed by:2 members

Try to do it in shortest time

by hey_thr67 » Fri May 18, 2012 1:53 am
When the sqare of a number and the cube of a smaller number are added the result is 593. If the square of the smaller number exceeds the bigger number by 55, find the difference of the two numbers.

A: 1
B: 2
C: 3
D: 4
E: 7
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 385
Joined: Mon Apr 16, 2012 8:40 am
Location: Pune, India
Thanked: 186 times
Followed by:29 members

by aneesh.kg » Fri May 18, 2012 2:23 am
hey_thr67 wrote:When the sqare of a number and the cube of a smaller number are added the result is 593. If the square of the smaller number exceeds the bigger number by 55, find the difference of the two numbers.

A: 1
B: 2
C: 3
D: 4
E: 7
Let A be the bigger number and a be the smaller number.

A^2 + a^3 = 593 -- (1)
a^2 - A = 55 -- (2)

The following values satisfy the second equation:
a = 8, A = 9 (we start with a = 8 because that is first square value that exceeds 55)
and
a = 9, A = 26
and so on.

a = 8, A = 9 satisfies the first equation also.
A - a = 1

[spoiler](A)[/spoiler] is correct.
Aneesh Bangia
GMAT Math Coach
[email protected]

GMATPad:
Facebook Page: https://www.facebook.com/GMATPad
Top
Post new topic Post Reply
• Page 1 of 1