If 26 is added to a number, it becomes 5/3 of itself. What is the difference of the digits of that number?
A4
B5
C6
D7
Answer:
C. 6
Read Explanation:
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