gmat20034 Posted September 3, 2003 Share Posted September 3, 2003 In a ceratin two-didgit integer, the ratio of the units didgit to the tens digit is 2 to 3. The product of the wto didgits is 54. Waht is the inetegre? Why is the asnwer not both 69 and -69. Quote Link to comment Share on other sites More sharing options...
devedge Posted September 10, 2003 Share Posted September 10, 2003 -69 would imply a ratio of -6:9 or -2:3, which is wrong. Quote Link to comment Share on other sites More sharing options...
kongo09 Posted September 15, 2003 Share Posted September 15, 2003 x is the tens digit y is the unit digit we're looking for a a = 10x + y y/x = 2/3 leads to y = 2x/3 y*x = 54 leads to 2xx/3 = 54 x^2 = 81 leads to x = 9 or x = -9 that means y = 6 or y = -6 which gives a = 96 or a = -96 I would argue that in -96 the tens digit is -9 and the unit digit is -6. Alternatively, I would say it is a negative number with 9 and six as digits. So the ratio is preserved. Do I miss a mathematical rule here? Quote Link to comment Share on other sites More sharing options...
ghacker1 Posted May 26, 2008 Share Posted May 26, 2008 the answer can be 69 Quote Link to comment Share on other sites More sharing options...
mannu08 Posted May 26, 2008 Share Posted May 26, 2008 the answer can be 69 Ghacker ans is 96. because question states unit:tens = 2:3 not the vice versa Quote Link to comment Share on other sites More sharing options...
playboy Posted May 27, 2008 Share Posted May 27, 2008 I agree with Kongo09. The can answer can be 96 and -96. gmat20034, can you post the 5 answer options? Quote Link to comment Share on other sites More sharing options...
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