If the ratio of the sum and difference of two numbers be 17 : 13, which one of the following is the ratio of the numbers ?

examrobotsa's picture
Q: 7 (CAPF/2010)
If the ratio of the sum and difference of two numbers be 17 : 13, which one of the following is the ratio of the numbers ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,31,21,4,31,10,7

keywords: 

{'ratio': [1, 0, 1, 12], 'sum': [0, 2, 5, 4], 'numbers': [0, 1, 0, 0], 'difference': [1, 3, 4, 8]}

The given question provides us with the ratio of the sum and difference of two numbers, which is 17:13.

To solve this problem, let`s assume the two numbers are x and y.

The sum of these two numbers is x + y, and the difference is x - y.

According to the given information, the ratio of the sum to the difference is 17:13.

This can be written as (x + y)/(x - y) = 17/13.

To find the ratio of the numbers, we can cross multiply and simplify the equation.

13(x + y) = 17(x - y)

13x + 13y = 17x - 17y

30y = 4x

y/x = 4/30

Simplifying further, the ratio of the numbers y:x is 2:15.

Therefore, the correct answer is option-4, 2:15.