Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?  Choose the correct choice from the following answers:	A) 27	B) 16	C) 38	D) 61	E) 83
Using the elimination method the option that fits this description is 27   7-2= 
<gadget id="calculator">7-2</gadget>
<output>5</output>
5 (unit's digit that exceeds its ten's digit by 3)   27*9= 
<gadget id="calculator">27*9</gadget>
<output>243</output>
243 (the product of the given number and the sum of its digits is equal to 175)   answer :27
<result>A</result>
Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?