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## Difficult Math Problem #98 - Algebra

This topic has 4 member replies
800guy Master | Next Rank: 500 Posts
Joined
27 Jun 2006
Posted:
354 messages
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11

#### Difficult Math Problem #98 - Algebra

Fri Feb 16, 2007 11:28 am
The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.
II. The tens digit of x + y equals 2.
III. The hundreds digit of y is at least 5.

A. II only

B. III only

C. I and II

D. I and III

E. II and III

from diff math doc. oa coming after a few people reply. have a nice weekend!!

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800guy Master | Next Rank: 500 Posts
Joined
27 Jun 2006
Posted:
354 messages
Followed by:
5 members
11
Mon Feb 19, 2007 8:14 am
oa:

x= abc
y= def

x = a7c
y= b5f

x > y and x+y = wxyz.

I. The units digit of x + y is greater than the units digit of either x or y.

It can carryover one digit. False

II. The tens digit of x + y equals 2.

It can be 2 or 3. False

III. The hundreds digit of y is at least 5.

a+b+1 >= 10
a >b so a at least 5. True.

Ans: b

guynoor Senior | Next Rank: 100 Posts
Joined
10 Feb 2007
Posted:
59 messages
1
Fri Feb 16, 2007 1:51 pm
guynoor wrote:
800guy wrote:
The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.
II. The tens digit of x + y equals 2.
III. The hundreds digit of y is at least 5.

A. II only

B. III only

C. I and II

D. I and III

E. II and III

from diff math doc. oa coming after a few people reply. have a nice weekend!!
Suppose X = 275 and Y = 955
X + Y = 1230
Checking conditions in the answer choices........

800guy Master | Next Rank: 500 Posts
Joined
27 Jun 2006
Posted:
354 messages
Followed by:
5 members
11
Mon Feb 19, 2007 8:14 am
oa:

x= abc
y= def

x = a7c
y= b5f

x > y and x+y = wxyz.

I. The units digit of x + y is greater than the units digit of either x or y.

It can carryover one digit. False

II. The tens digit of x + y equals 2.

It can be 2 or 3. False

III. The hundreds digit of y is at least 5.

a+b+1 >= 10
a >b so a at least 5. True.

Ans: b

guynoor Senior | Next Rank: 100 Posts
Joined
10 Feb 2007
Posted:
59 messages
1
Fri Feb 16, 2007 1:51 pm
guynoor wrote:
800guy wrote:
The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.
II. The tens digit of x + y equals 2.
III. The hundreds digit of y is at least 5.

A. II only

B. III only

C. I and II

D. I and III

E. II and III

from diff math doc. oa coming after a few people reply. have a nice weekend!!
Suppose X = 275 and Y = 955
X + Y = 1230
Checking conditions in the answer choices........

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