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If a and b represent positive single digits in the correctly worked co

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Math Expert
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If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 27 Oct 2014, 08:41
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (01:05) correct 30% (01:15) wrong based on 440 sessions

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Re: If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 27 Oct 2014, 08:52
1
I am such an idiot!
I got 25 for ab and obviously it was wrong and for next 3 minutes u was figuring out how the answer was 52!
then I re-read the question - ba.
*face-palm*
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Re: If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 27 Oct 2014, 09:03
1
Bunuel wrote:

Tough and Tricky questions: Arithmetic.



22
a3
+4b
___
90

If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ba?

A. 10
B. 15
C. 25
D. 51
E. 52


Here is one way to solve this problem:
I switched the 4 in the tens digit with a so that i could turn it into a simple subtraction problem. I found it to be easier than solving each variable individually.
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Re: If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 27 Oct 2014, 09:08
Let's tackle the units column first. 2+3+(some digit) has to give us a value that ends in 0. Only 5 works, so we can eliminate A, B, C. Now we can quickly test D and E. If we insert "2" for A, our equation becomes: 22+23+45, which equals 90. Hence, the answer is E.
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Re: If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 27 Oct 2014, 20:21
3
Bunuel wrote:

Tough and Tricky questions: Arithmetic.



22
a3
4b
___
90

If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ba?

A. 10
B. 15
C. 25
D. 51
E. 52


"b" has to be "5" to give "0" at the end of the addition; so we can safely IGNORE option A, B & C

This takes a "carry 1" ahead in addition

1 + 2 + a + 4 = 9

a = 2

ba = 52

Answer = E
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If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 04 Aug 2018, 06:04
1
Top Contributor
Bunuel wrote:

Tough and Tricky questions: Arithmetic.



22
a3
+4b
___
90

If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ba?

A. 10
B. 15
C. 25
D. 51
E. 52


Units digits first....
2 + 3 + b yields a sum with units digit 0
So, b = 5

So, the top number and bottom number are now 22 and 45
We have:
22
a3
+45
___
90

22 + 45 = 67
So, we have: 67 + a3 = 90
Subtract 67 from both sides to get: a3 = 23
So, a = 2

What is the value of the two digit integer ba?
ba = 52

Answer: E

Cheers,
Brent
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Re: If a and b represent positive single digits in the correctly worked co  [#permalink]

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New post 23 Nov 2018, 05:26
SaharKhan wrote:
I am such an idiot!
I got 25 for ab and obviously it was wrong and for next 3 minutes u was figuring out how the answer was 52!
then I re-read the question - ba.
*face-palm*


Awwwwww
awle awle awle awle awle awle.

Happens to the best of us.Same boat.
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Re: If a and b represent positive single digits in the correctly worked co   [#permalink] 23 Nov 2018, 05:26
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