: SIX years ago, Anika was thrice as old as Sonu. After eleven years, Anika will be twice as old as Sonu. How old are Anika and Sonu?
Answers
Answer:
Let us consider Present monu age = x yrs
Then five years ago monu age was = (x -5) yrs
Given five years ago sonu age was = 3(x -5) yrs = (3x -15) yrs
From above present age of sonu =3x -15+5 = 3x -10 yrs ----> equation 1
Ten years later monu age = (x + 10) yrs
Given 10 years later sonu age = 2(x + 10)yrs = 2x+20 yrs
From above present sonu age = 2x +20 -10 =2x +10 yrs ----> equation 2
As equation 1 and 2 both are for present age of sonu on equating both the equations
3x -10 = 2x +10 => 3x -2x = 10 + 10 => x = 20
Present age of monu = 20 yrs
Present sonu age can be calculated either by equation one are two
By equation 1:
Present age of sonu = 2x + 10 = 2×20 + 10 = 50 yrs
Step-by-step explanation:
Hence, The present age of Anu = x = 20 years. The present age of Sonu = y = 50 years.