Question

The sum of the ages of Roy and Raj is 73 years. Five years ago Roy's age was twice that
of Raj . Find their ages.

Answer 1

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Answer 2

Let the ages of Roy and Raj be x and y respectively

Given

x + y = 73

=> x = 73 - y ---> (1)

Five years ago, Roy's age would be = (x - 5)

Five years ago, Raj's age would be = (y - 5)

According to the question

x - 5 = 2(y - 5)

=> x - 5 = 2y - 10

=> 73 - y - 5 = 2y - 10

=> 3y = 78

=> y = 78/3 = 26

from equation (1): x = 73 - y

=> x = 73 - 26

=> x = 47

Therefore, Roy's and Raj's age is 47 and 26 respectively