If the sum of ages of Raghu and Ram is 76 years and their ages are in the ratio 9:10 , then what will be the difference of their ages?
 
OPTIONS :
 
(a)2 years                    (b)3 years
(c)4 years                    (d)5 years
 
Please explain in detail.

Asked by arymahajan24 | 8th Oct, 2016, 05:54: PM

Expert Answer:

begin mathsize 16px style Let space straight x space be space the space common space multiple.
So comma space the space ages space of space Raghu space and space Ram space will space be space 9 straight x space and space 10 straight x space respectively.
According space to space the space given space condition comma
9 straight x plus 10 straight x space equals space 76
rightwards double arrow 19 straight x equals 76
rightwards double arrow straight x equals 4
So comma space the space ages space of space Raghu space and space Ram space will space be space 9 left parenthesis 4 right parenthesis equals 36 space years space and space 10 left parenthesis 4 right parenthesis equals 40 space years space respectively.
Hence comma space the space difference space of space their space ages space equals space 40 space minus space 36 space equals space 4 space years
So comma space the space correct space option space is space left parenthesis straight c right parenthesis. end style

Answered by Rebecca Fernandes | 8th Oct, 2016, 09:35: PM