Is the positive two-digit integer N less than 40?
1) The units digit of N is 6 more than the tens digit.
2) N is 4 less than 4 times the units digit.
Can someone please help me with how to approach this question?
I have looked at the OG explanation but I don't quite get it.
Thanks!
Sherry
Real Numbers (OG13, p.281, Q.75)
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Statement 1: The units digit of N is 6 more than the tens digit.schao wrote:Is the positive two-digit integer N less than 40?
1) The units digit of N is 6 more than the tens digit.
2) N is 4 less than 4 times the units digit.
Can someone please help me with how to approach this question?
I have looked at the OG explanation but I don't quite get it.
Thanks!
Sherry
Since the units digit is 6 more than the tens digit, and the GREATEST possible value of the units digit is 9, the GREATEST possible value of the tens digit = 9-6 = 3.
Thus, the GREATEST possible value of N = 39, which is less than 40.
SUFFICIENT.
Statement 2: N is 4 less than 4 times the units digit.
Since N is 4 less than 4 times the units digit, and the GREATEST possible value of the units digit is 9, the GREATEST possible value of N = (4*9) - 4 = 32, which is less than 40.
SUFFICIENT.
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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