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Re: In a certain two-digit integer, the ratio of the units digit [#permalink]
02 Jun 2014, 00:28

Given:

units to tens = 2:3

Meaning it could be:

32 63 96

(It cannot be negative as the ratio given is positive.) Although we could say it's "-6 and -9" it does not make sense as these numbers together make up a two-digit integer.

Leaving us with the numbers above.

The first statement gives us that the digit in the tens place is 3 times larger than the one in the units place. As we've already worked out the three possibilities, we can rule out 32 and 63.

Statement 1 is sufficient.

Statement two gives us the product between the two numbers that make up the integer. We can simply find that the products are, respectively, 6, 18 and 54.

54 matches 96(9*6). Statement 2 is therefore sufficient.