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Hi everyone ! This problem can be effectively solved through algebraic approach. More specifically..

Since 5 out of 6 answer choices are two digit numbers, lets assume that "x" is a two digit number "ab" , a : tens digit and b : units digit

So ab equals 10*a+b

Finally If you solve the following equation : 10*a+b = a+b + a*b ...... you will come up with the solution b=9 ,

thus we have no other choice except for --> 39 for "x" value, (since it is the only two digit number that ends in 9) and

solve the equation to find the y value.

This simple approach, by solving an extremely easy equation, saves time from trial and error, where you might end up trying to input 5 numbers to x and solve the equation the equation to find y..
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skriaras@hotmail.com
Hi everyone ! This problem can be effectively solved through algebraic approach. More specifically..

Since 5 out of 6 answer choices are two digit numbers, lets assume that "x" is a two digit number "ab" , a : tens digit and b : units digit

So ab equals 10*a+b

Finally If you solve the following equation : 10*a+b = a+b + a*b ...... you will come up with the solution b=9 ,

thus we have no other choice except for --> 39 for "x" value, (since it is the only two digit number that ends in 9) and

solve the equation to find the y value.

This simple approach, by solving an extremely easy equation, saves time from trial and error, where you might end up trying to input 5 numbers to x and solve the equation the equation to find y..
­Hi there! Why do you multiply by 10?
Wouldnt ab (aka "x") = (a+b) +(a*b)?­
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Hello from the GMAT Club BumpBot!

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