A father's age is 3 times the sum of ages of his two sons. Five year later he will be twice the sum of ages of his two sons. Find the fathers present age.
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A father’s age is three times the age of his two sons. After 5 years, his age will be twice the sum of the ages of his sons. What is the age of the father?
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Gaurab Kumar Jha, Slave at An IT Company (2014-present)
Answered March 20, 2017
Let ,
x = Present sum of the age of the sons.
y = Present age of Father
therefore ,
3x=y --------------------(1)
After 5 Years,
Sum of the sons age = x + (5*2)
Father's age = y +5
So,
2*( x + 10 ) = y + 5
=> 2x + 20 = y + 5;
=> 2x + 15 = y ; ----------(2)
From equal. 1 and 2 we get
2x + 15 = 3x
=> x = 15;
Putting the value of x in equation 1 , we get ,
y= 3x
=> y = 15*3
=> y = 45
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