Question

What is the value of the two-digit positive integer n ? (1) the sum of the digits in n is 12. (2) if the digits in n are reversed, the value of the number formed is 36 more than the value of n.

Answer 1

Answer:

Step-by-step explanation:

Any two-digit integer ab can be expressed as 10a+b, for example: 45 = 10*4 + 5.  

So, given that n = 10a + b  

(1) The sum of the digits in n is 12 --> a + b = 12. Not sufficient.

(2) If the digits in n are reversed, the value of the number formed is 36 more than the value of n --> (10a + b) + 36 = 10b + a --> b = a + 4. Not sufficient.

(1)+(2) Solve a + b = 12 and b = a + 4 to get a = 4 and b = 8 --> n = 10a + b = 48. Sufficient.