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If x, y, and z are three-digit positive integers and if x =

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Re: If x, y, and z are three-digit positive integers and if x = [#permalink]

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New post 07 Jun 2017, 07:01
Data sufficiency always is closer to a RC than to a math problem.
Fact: x,y,z are 3 digit number, so the sum of the hundreds cannot exceed the the 1 digit number
Fact: X= Y+Z

Therefore the question is asking if there is a carry over 1.

Understood this the answer is easy to pick.

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New post 07 Jun 2017, 07:18
A.

Took me 30 seconds.

The only way this is possible is if both tens digits are less than 5 or both add up to 9.

Think about it logically, when you are adding, the only way the left digit will change is if the right digits add up to 10 or more.

Ex) 149 + 349 = 498

B) this may or may not be true:
153 + 345 = 498
153 + 351 = 504

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Re: If x, y, and z are three-digit positive integers and if x = [#permalink]

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New post 04 Oct 2017, 05:17
What about

882 = 541 + 341 tens digit satisfies but ans is not.. don't know where I am wrong

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Re: If x, y, and z are three-digit positive integers and if x = [#permalink]

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New post 04 Oct 2017, 06:32
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Cheryn wrote:
What about

882 = 541 + 341 tens digit satisfies but ans is not.. don't know where I am wrong


You are getting the same YES answer. The hundreds digit of x, which is 8 in your example, equals to the sum of the hundreds digits of y and z, which are 5 and 3: 5 + 3 = 8.
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If x, y, and z are three-digit positive integers and if x = [#permalink]

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New post 03 Nov 2017, 22:12
ANSWER IS A

x = abc = 100 a + 10b + c
y = def = 100d + 10e + f
z = ghi = 100g + 10h + i

since x=y+z
100a + 10b + c = 100(d+g) + 10(e+h)+ f+i ---------equation alpha
lets consider any 2 numbers of let say 2 digits => 12 and 24 => sum is 36 means unit digit 6 is sum of 2 and 4
therefore
if x=y+z unit digit of x is sum of y's and z's units digit
c= f+i
from 1 10b = 10e+10h
add 10b +c = 10(e+h) + f+i
substitue in equation alpha

100a = 100( d+g)
a=d+g => SUFFICIENT.

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If x, y, and z are three-digit positive integers and if x =   [#permalink] 03 Nov 2017, 22:12

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