The age of Hassan is added to thrice the age of Nida is 30 years. If Nida’s age is one-sixth of Hassan’s age then find Hassan’s age?

22 years

20 years

21 years

None of these

Let's denote Hassan's age as H and Nida's age as N.

Given:

1. H + 3N = 30

2. N = H/6

Substitute N = H/6 into the first equation:

H + 3(H/6) = 30

H + H/2 = 30

Multiply both sides by 2 to eliminate the fraction:

2H + H = 60

3H = 60

H = 20