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 = 5So, the top number and bottom number are now

22 and

45We have:

22a3+

45___

90

22 +

45 = 67

So, we have: 67 +

a3 = 90

Subtract 67 from both sides to get:

a3 = 23

So,

a = 2What is the value of the two digit integer ba?ba =

52Answer: E

Cheers,

Brent

_________________

Brent Hanneson – Founder of gmatprepnow.com