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How many reversed two digit pairs are there such that three xy is x+y

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Joined: 07 Dec 2014
Posts: 1161
How many reversed two digit pairs are there such that three xy is x+y  [#permalink]

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New post 16 Jan 2019, 21:49
3
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:56) correct 38% (01:58) wrong based on 16 sessions

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How many reversed two digit pairs are there such that three xy is x+y less than yx?

A. 1
B. 2
C. 3
D. 4
E. 5
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Joined: 09 Mar 2018
Posts: 1007
Location: India
Re: How many reversed two digit pairs are there such that three xy is x+y  [#permalink]

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New post 16 Jan 2019, 22:22
gracie wrote:
How many reversed two digit pairs are there such that three xy is x+y less than yx?

A. 1
B. 2
C. 3
D. 4
E. 5


As per my understanding the question is
is 3 xy = yx - (x+y)

I tried using this approach in which i assumed a 2 digit number to be 10 y + x
3 (10 x + y) = 10y + x - x - y
10 x + y =3y
10 x = 2y
x = y/5

This means 10 y + y/5 is a 2 digit number
=> 51y/ 5 = 51 will be the only pair, for y = 5

Let me know if this approach is correct.

Correct answer A
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Re: How many reversed two digit pairs are there such that three xy is x+y   [#permalink] 16 Jan 2019, 22:22
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How many reversed two digit pairs are there such that three xy is x+y

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