In a two-digit number, if the unit digit exceeds the tenth digit by two and the product of the provided number and the sum of its digits equals 144, the number is:
A. 24
B. 26
C. 42
D. 46
Answer:A
In a two-digit number, if the unit digit exceeds the tenth digit by two and the product of the provided number and the sum of its digits equals 144, the number is:
A. 24 B. 26 C. 42 D. 46
Explanation: Let's use the digit x for the tenth digit.The digit of the unit then becomes x + 2.10x + (x + 2) = 11x + 2 is the number.x + (x + 2) = 2x + 2 is the sum of the digits.140 = 22x2 + 26x,70 = 0 = 11x2 + 13x.(11x + 35) = 0 (x - 2)11x + 35).As a result, the necessary number is 11x + 2 = 24.