5 years ago Amith was three times as old as his daughter and 10 years hence, he will be two times as old as his daughter. Then Amiths current age is,
7 years
None of these
55
50
Explanation:
Let the present age of Amit be x.
Let the present age of daughter be y.
Given that 5 years ago Amit was three times as old as daughter.
x - 5 = 3 * (y - 5)
x - 5 = 3y - 15
x = 3y - 10 ------ (1)
Given that ten years later Amit would be twice as old as daughter.
x + 10 = 2(y + 10)
x + 10 = 2y + 20
x = 2y + 10 ---- (2)
On solving (1) and (2), we get
3y - 10 = 2y + 10
3y = 2y + 20
3y - 2y = 20
y = 20 ---- (3)
Substitute (3) in (1), we get
x = 3y - 10
= 3(20) - 10
= 50.
Therefore the present age of Amit is 50.
Let the present age of Amit be x.
Let the present age of daughter be y.
Given that 5 years ago Amit was three times as old as daughter.
x - 5 = 3 * (y - 5)
x - 5 = 3y - 15
x = 3y - 10 ------ (1)
Given that ten years later Amit would be twice as old as daughter.
x + 10 = 2(y + 10)
x + 10 = 2y + 20
x = 2y + 10 ---- (2)
On solving (1) and (2), we get
3y - 10 = 2y + 10
3y = 2y + 20
3y - 2y = 20
y = 20 ---- (3)
Substitute (3) in (1), we get
x = 3y - 10
= 3(20) - 10
= 50.
Therefore the present age of Amit is 50.