If the difference between the two numbers is 75 percent of their sum, then…

Solution

Let the larger number be x and the smaller number be y.

According to the question, the difference between the two numbers is 75% of their sum.

Therefore,

x − y = 75% of (x + y)

x − y = (3/4)(x + y)

Multiplying both sides by 4:

4(x − y) = 3(x + y)

4x − 4y = 3x + 3y

x − 4y = 3y

x = 7y

Hence,

Ratio of larger number to smaller number

= x : y

= 7y : y

= 7 : 1

Therefore, the required ratio is 7 : 1.

Answer: C) 7 : 1