Question

The sum of the ages of Raj and Ben is 37 years. Five years ago, Raj's age was twice that of Ben. Find their present ages.​

Answer 1

Answer:

Raj's age = 23, Ben's age = 14

Step-by-step explanation:

Let the age of Raj be 'x' and that of Ben be 'y'

According to the question x + y = 37    -----------------(i)

Now, five years ago:

x - 5 = 2 (y - 5)

x - 5 = 2y -10

x - 2y = -5   ---------------(ii)

Subtracting eq (ii) from (i), (Elimination method)

x + y =  37

x  - 2y = -5

-    +        +

----------------

    3y = 42

y = 14

x= 37 - 14 = 23

Therefore,  Raj's age = 23 and Ben's age = 14.