Answer:
50 years old
Step-by-step explanation:
Let the age of father be x years, the age of elder son be y years
and the age of younger son be z years.
From the first condition, we have
x=2y ...(i)
From the second condition, we have
x+10=3(z+10)
∴x+10=3z+30
∴x−3z=20 ...(ii)
From the third condition, we have
y−z=15 ...(iii)
Put the value of y from eqn. (i) in (iii) we get
x−2z=30 ...(iv)
Solving (ii) and (iv), we get
x=50
∴ the age of the father is 50 years.
