The difference between the two numbers is 15% of their sum. Find the ratio of the smaller number to the larger number.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. (17/23).
Given:
The difference between the two numbers is 15% of their sum.
Calculations:
Let the numbers be a and b (where a > b).
According to the question;
⇒ a - b = 0.15(a + b)
⇒ a - b = 0.15a + 0.15b
⇒ a - 0.15a = b + 0.15b
⇒ 0.85a = 1.15b
⇒ a/b = 115/85 = 23/17
⇒ b/a = 17/23