som is 3 years younger than raj. after five years the sum of their ages would be 31. find their present ages.

2 thoughts on “som is 3 years younger than raj. after five years the sum of their ages would be 31. find their present ages.”

1. Answer:

   raj age will be 12 and som age will be 9

   Step-by-step explanation:

   let the age 9f raj be =x

   [x+5] + [x-3+5] =31

   2x -3+10 =31

   2x -3 = 31 -10

   2x -3 =21

   2x =21 +3

   2x =24

   x =24/2

   x = 12

   so here x is 12 so raj =x

   rai 12

   som = x -3

   so 12 -3 =9

   so raj =12 and som =9

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2. Step-by-step explanation:

   let raj be x

   and som be x-3

   after 5 years, raj= x+5

   som= x-3+5 = x+2

   hence,

   (x+5) (x+2) = 31

   or 2x + 7 = 31

   or 2x = 24 i.e. x = 12

   therefore, present ages of raj = 12 and som = 12 – 3 = 9.

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