If a and b represent positive single digits in the correctly

BTGmoderatorDC wrote: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

Hi All,

We're told that A and B each represent positive single DIGITS in the correctly worked calculation: 22 + A3 + 4B = 90 (reminder: each value is a 2-digit number). We're asked for the value of the two digit integer BA. This question can be solved in a couple of different ways. You can do the basic Arithmetic (as Brent has shown) or you can TEST THE ANSWERS. From the five choices, we know that the value of B is either 1, 2 or 5 and the value of A is 0, 5, 1 or 2. Once you determine the value of B, there are only two possible options for A...

Final Answer: E

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