Shahrukh and Salman are brothers. In the year 1973, Shahrukh's age was one-third of Salman's age. In the year 1980, Shahrukh's age was half of Salman's age. What is Shahrukh's year of birth?
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Given: In 1973, Shahrukh was one third of Salman's age. In year 1980, Shahrukh's age was half of Salman's age
To find: Shahrukh's year of birth
Explanation: Let Salman's age be x in 1973.
Then, Shahrukh's age in 1973= x/3
Now, in 1980( 7 years later), Salman's age=x+7
Shahrukh's age= x/3 + 7
=(x+21)/3
It is given, Shahrukh's age= Salman' age/2
=> (x+21)/3 = (x+7)/2
=>2x+42= 3x+21 (cross multiplication)
=>x=21
Therefore, Salman's age in 1973 is 21 years.
So, Shahrukh's age in 1973=21/3= 7 years
Shahrukh's year of birth= 1973-7= 1966
Shahrukh's year of birth is 1966.
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