Question

If 26 is added to a number, it becomes 5/3 of itself. What is the difference of the digits of that number?

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

Answer:

C. 6

Solution: Given: New number after adding 26 to the original number = 5/3 of the original number Calculation: Let the number be x According to the question, we have x + 26 = (5/3)x ⇒ 3(x + 26) = 5x ⇒ 3x + 78 = 5x ⇒ 2x = 78 ⇒ x = 78/2 = 39 Difference = 9 – 3 = 6 ∴ The difference of the digits of the number is 6